Browsing by Author "Ajeet Kumar"

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A general implicit iteration for finding fixed points of nonexpansive mappings
(International Scientific Research Publications, 2016) D.R. Sahu; Shin Min Kang; Ajeet Kumar; Sun Young Cho
The aim of the paper is to construct an iterative method for finding the fixed points of nonexpansive mappings. We introduce a general implicit iterative scheme for finding an element of the set of fixed points of a nonexpansive mapping defined on a nonempty closed convex subset of a real Hilbert space. The strong convergence theorem for the proposed iterative scheme is proved under certain assumptions imposed on the sequence of parameters. Our results extend and improve the results given by Ke and Ma Y. Ke, C. Ma, Fixed Point Theory Appl., 2015 (2015), 21 pages., Xu et al. H. K. Xu, M. A. Alghamdi, N. Shahzad, Fixed Point Theory Appl., 2015 (2015), 12 pages., and many others. © 2016 all rights reserved.
A randomised prospective comparative study between ropivacaine and nalbuphine used in erector spinae block as a mode of postoperative analgesia in cervical instrumentation surgery
(IP Innovative Publication Pvt. Ltd., 2025) Prachi Pal; Ajeet Kumar; Sanjeev Kumar; Ravi Anand; Atul Aman
Background: Spine surgeries are notorious for postoperative pain and delayed early rehabilitation. Various modalities are used to achieve analgesia in post-spinal surgery. Recently, the Erector Spinae Plane (ESP) block has improved the outcome of analgesia in various abdominal and thoracic surgeries. Aim and Objectives: To compare the effects of Ropivacaine versus Nalbuphine in ESP block. Also, various postoperative outcomes. Materials and Methods: This prospective randomised study involved 40 patients posted for elective cervical spine instrumentation surgery and classified as American Society of Anaesthesiologists (ASA) grade I or II. Patients were divided into two groups. Group R received 20 ml of 0.2% Ropivacaine, and Group N was administered 20 mg of Nalbuphine diluted in 20 ml of normal saline on both sides. Following the induction of anaesthesia, patients were positioned prone, and ESP block was performed at the C7-T1 level under sterile conditions. Statistical Analysis: Data collection and formulation were analysed using ANOVA, Student’s t-test, and Paired t-test. The statistical analysis was conducted with SPSS version 21 for Windows. P value of < 0.05 was considered statistically significant. Result: Group R receiving Ropivacaine for ESP block showed a significant postoperative pain reduction for the first 8 hours (P = 0.02), and the total analgesic consumption was lower in Group R compared to Group N (90 ± 160.15 versus 90 ± 160.15). The mean time for the first rescue analgesics was 189.72 vs 120.24 minutes in Group R & N, respectively (P = 0.03). The total number of patients requesting rescue analgesics was lower in Group R: 4 (40%) vs 11 (55%). Side effects were similar between the two groups and not significant. Conclusion: ESP block is a safe and effective postoperative pain relief method in spine surgeries. Ropivacaine provided effective pain relief with prolonged time to rescue analgesia. At the same time, Nalbuphine has shown effective analgesia with an acceptable safety profile as a sole agent in ESP blocks. However, mild sedation was observed and should be factored into clinical decision-making. © 2025 The Author(s), Published by Innovative Publications.
Appraisal biological health status of the cultivated lands of Varanasi district of Uttar Pradesh
(Journal of Pure and Applied Microbiology, 2015) Ajeet Kumar; J. Yadav; Awtar Singh
Soil health indicators are needed that help farmers to understand the chain of cause and effect that links farm decision to ultimate productivity and health of plant and animals. No single indicator was universal in describing soil property change due to the cultivation. However, there was a significant correlation between soil physical, chemical and biological indicators, which validates the holistic approach to soil health management and the need to better understanding of the flow on effects of soil management decisions. The Indo-Gangetic plain of Varanasi district was selected for the study. 24 surface soil (0-15cm) samples were collected from the cultivated land in Varanasi district and analysed for pH, EC, available N, P, K content and biological health status of soil. 22 samples having the low organic carbon status and 2 samples are medium in organic carbon. The availability of nitrogen vary from 163 to 301 kg ha-1, phosphorus ranges from 14.16 to 40.39 2 kg ha-1, while range of potassium vary 112.0 to 1358 kg ha-1. The Dehydrogenase activity of soil vary from 24.33 to 70.33 μg TPF g-1 soil day-1, urease activity of soil vary from 128.60 to 342.30 μg UH g-1 soil h-1 alkaline Phosphatase activity vary from 68.70 to 211.70 μg PNP g-1 soil h-1, whereas acid Phosphatase activity from 57.30 to 162.30 μ g PNP g-1 soil h-1. The Soil microbial biomass carbon (SMBC) and soil respiration values of the soils vary from 90.60 to 321.30 mg C kg-1 soil and 0.1992 to 0.5421 mg CO2-C g-1 soil day-1. Microbial Population of bacteria, fungi and actinomycetes in the soils vary from 14.20-42.70, 6.70-32.70 and 9.30-31.30 CFU × 106 g-1 soil respectively.
Assessment-biological health status of the cultivated lands of Mirzapur district of Uttar Pradesh
(Enviro Media, 2015) Ajeet Kumar; J. Yadav; Awtar Singh
To improve the sustainability and environmental accountability of soil there is a need to develop a set of soil health indicators that integrate physical, chemical and biological soil properties. The soils of Vindhyan Zone of Mirzapur district was selected for the study. 30 surface soil (0-15cm) samples were collected from the cultivated land and analysed for pH, EC, available N, P, K content and biological health status of soil. All the soil samples having the low organic carbon status. The availability of nitrogen vary from 125 to 276 kg ha-1, phosphorus ranges from 14.4 to 51.1 kg ha-1, while range of potassium vary between 75.8 to 586 kg ha-1. The Dehydrogenase activity of soil vary from 24.0-58.33 ug TPF g-1 soil day-1, urease-activity of soil vary from 93.6 to 284.3 ug urea hydrolysed g-1 soil h-1, alkaline phosphatase activity vary from 84.3 to 245.67 ug PNP g-1 soil h-1, whereas acid phosphatase activity from 76.3 to 163.6 ug PNP g-1 soil h-1. Soil microbial biomass carbon (SMBC) and soil respiration values of the soils vary from 104.6 to 260.0 mg C kg-1 soil and 0.1879 to 0.4562 mg CO2-Cg-1 soil day-1 respectively. Microbial population of bacteria, fungi and actinomycetes in the soils vary from 14.0 to 40.30 × 106 CFU g-1 soil, 6.7 to 29.3 × 104 CFU g-1 soil and 9.3 to 26.7 × 105 CFU g-1 soil respectively. © Copyright EM International.
Convergence Analysis of Parallel S -Iteration Process for System of Generalized Variational Inequalities
(Hindawi Limited, 2017) D.R. Sahu; Shin Min Kang; Ajeet Kumar
We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S-iteration process have been proposed and the strong convergence of the sequences generated by these parallel iteration processes is discussed. Numerical example illustrates that the proposed parallel S-iteration process has an advantage over parallel Mann iteration process in computing altering points of some mappings. © 2017 D. R. Sahu et al.
Convergence of generalized mann type of iterates to common fixed point
(Springer New York LLC, 2018) T. Som; Amalendu Choudhury; D.R. Sahu; Ajeet Kumar
The present paper deals with the convergence of two modified Mann type of iteration schemes for a single and a finite family of mappings to the fixed and common fixed point, respectively, of a single and a finite family of quasi-nonexpansive mappings on a uniformly convex Banach space. An example is added in support of our main result. The results obtained generalize the earlier results of Rhoades (J Math Anal Appl 56:741–750, [6]), Som et al. (Proc Nat Acad Sci (India) 70(A)(II):185–189, [8]), and others in turn. © Springer Nature Singapore Pte Ltd. 2018.
Higher incidence of co-expression of BCR-ABL fusion transcripts in an Eastern Indian population
(Springer Nature, 2023) Ajeet Kumar; Vatsal Mishra; Chandra Bhan Singh; Rashmi Patel; Siddharth Samrat; Madhukar Rai; Nilesh Kumar; Vijay Tilak; Vineeta Gupta; Akhtar Ali
Background: Chronic myeloid leukaemia (CML) is a haematopoietic stem cell disorder, caused by a balanced reciprocal translocation (t(9;22) (q34;q11)) that leads to the formation of BCR (Breakpoint Cluster Region)-ABL (Abelson) fusion transcripts known as Philadelphia (Ph) chromosome. The prevalence of BCR-ABL fusion transcripts in Indian CML population is poorly understood, and few studies have been reported from India. The aim of the present study was to determine the frequencies as well as prognostic effects of the three fusion transcripts, i.e. b2a2, b3a2 and e1a2 in an Indian population. Methods: RNA was isolated from total 123 samples, 27 bone marrow (BM) samples and 96 peripheral blood (PB) samples, of CML patient followed by cDNA synthesis. Real-time quantitative reverse transcription polymerase chain reaction (qRT-PCR) was performed using TaqMan® assay (ABI, CA, USA) to monitor BCR-ABL transcript. Results: Ph' chromosome was observed in 103 patients whereas it was not detected in 20 cases. qRT-PCR revealed that the b3a2 fusion transcripts were the most common transcript in CML patients (63.41%) while b2a2 fusion transcript was present in 16.26% cases. Co-expression of b3a2 + b2a2 fusion transcript was observed in 0.81% cases whereas co-expression of b3a2 + e1a2 fusion transcript was found in 1.63% cases. There was no correlation observed between b3a2 fusion transcript and platelet count. The fusion transcript b2a2 was observed in relatively younger patients compared to b3a2 fusion transcript. Although this correlation was not statistically significant. Conclusion: The co-expression of BCR-ABL fusion transcripts was higher (63.41% aggregate of b3a2) in the present population in contrast with other populations reported. This finding was consistent with the frequency data reported from Sudan. © 2023, The Egyptian Society of Human Genetics.
Philadelphia chromosome- positive myelodysplastic syndrome with single lineage dysplasia
(Elsevier Inc., 2023) Ajeet Kumar; Vijai Tilak; Disha Arora; Marisha; Rahul; Deepak Gautam; Akhtar Ali
Myelodysplastic syndrome (MDS) is a group of acquired clonal disorders characterized by dysplastic and ineffective hematopoiesis in the bone marrow. Various specific karyotypic and molecular abnormalities associated with MDS further guide the prognosis. Although translocation t(9;22)(q34;q11) (Philadelphia positive [Ph+]) and corresponding BCR-ABL fusion transcript are classically defined to differentiate CML from non-CML myeloproliferative disorders, it is also associated with adult acute lymphoblastic leukemia (Ph+ ALL), acute myeloid Leukemia (Ph+ AML), myelodysplastic syndrome (Ph+ MDS). The occurrence of Ph+ MDS is very uncommon, and a review of literature has shown by far 40 cases so far in which the majority are seen on progression to Leukemia. Few had de novo presence of such chromosomal abnormality. Due to its rarity, this entity has not yet found its space in the current WHO classification. Also, the role of tyrosine kinase inhibitors in such a scenario is still debatable. We found two such cases of de novo Ph+ MDS diagnosed at institute of medical sciences, Banaras Hindu university and a brief literature review. © 2023
Proximal point algorithms based on S-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications
(Springer, 2021) D.R. Sahu; Ajeet Kumar; Shin Min Kang
In this paper, we combine the S-iteration process introduced by Agarwal et al. (J. Nonlinear Convex Anal., 8(1), 61–79 2007) with the proximal point algorithm introduced by Rockafellar (SIAM J. Control Optim., 14, 877–898 1976) to propose a new modified proximal point algorithm based on the S-type iteration process for approximating a common element of the set of solutions of convex minimization problems and the set of fixed points of nearly asymptotically quasi-nonexpansive mappings in the framework of CAT(0) spaces and prove the △-convergence of the proposed algorithm for solving common minimization problem and common fixed point problem. Our result generalizes, extends and unifies the corresponding results of Dhompongsa and Panyanak (Comput. Math. Appl., 56, 2572–2579 2008), Khan and Abbas (Comput. Math. Appl., 61, 109–116 2011), Abbas et al. (Math. Comput. Modelling, 55, 1418–1427 2012) and many more. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
S-iteration process of halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities
(University of Nis, 2019) D.R. Sahu; Ajeet Kumar; Ching-Feng Wen
This paper is devoted to the strong convergence of the S-iteration process of Halpern-type for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of common solutions of variational inequality problems formed by two inverse strongly monotone mappings in the framework of Hilbert spaces. We also give some numerical examples in support of our main result. © 2019, University of Nis. All rights reserved.
Unilateral Syndactyly, Hemihypertrophy, and Hyperpigmentation with Mosaic 2q35 Deletion
(Wolters Kluwer Medknow Publications, 2023) Akhtar Ali; Ajeet Kumar; Pawan K. Dubey; Vivek Pandey; Ankur Singh
Pigmentary mosaicism (PM) is a clinical condition of dyspigmentation with chromosomal abnormality. PM presents with both cutaneous and extracutaneous manifestation. Hypomelanosis of Ito and linear and whorled nevoid hypermelanosis are syndromic disorders in which PM is one of the manifestations. We present a case of a 1-year-old child with a unique constellation of symptoms of unilateral syndactyly, hemihypertrophy, and skin hyperpigmentation. Karyotype from peripheral blood was normal. We found genetic aberration (mosaic 2q35 deletion) in the present case from fibroblast cultured from the affected area. This unique constellation of symptoms was previously reported once but genetic study was not done from the affected tissue. This case highlights the need of considering fibroblast culture-based genetic study rather than doing simple karyotype from peripheral blood. Genetic study also established the molecular basis of symptoms in the above case. © 2023 Wolters Kluwer Medknow Publications. All rights reserved.
Viscosity approximation method for common fixed point problems of a finite family of nonexpansive mappings
(Yokohama Publications, 2017) Yen-Cherng Lin; B.K. Sharma; Ajeet Kumar; Niyati Gurudwan
The purpose of this paper is to introduce a new iterative algorithm for computing a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of a variational inequality problem in Hilbert space setting. Our iterative algorithm generates a strongly convergent sequence. We establish a strong convergence of our algorithm which extends and generalizes many results of this nature existing in the literature. We also give a numerical example to support our main result. © 2017.