Browsing by Author "Joshi, Bhuwan Chandra"

Now showing 1 - 4 of 4
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    E-convex functions and nonsmooth mathematical programs
    (International Publications, 2021) Joshi, Bhuwan Chandra; Mohan, Rakesh; Pankaj
    In this paper, we derive sufficient optimality condition for a nonsmooth mathematical program with equilibrium constraints using E-convex functions. We formulate the Wolfe and Mond-Weir type duality models and establish weak and strong duality theorems to relate the mathematical program with equilibrium constraints and the dual models in the framework of convexificators. � 2021, International Publications. All rights reserved.
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    GENERALIZED INVEXITY and MATHEMATICAL PROGRAMS
    (Faculty of Organizational Sciences, Belgrade, 2021) Joshi, Bhuwan Chandra; Mohan, Rakesh; Pankaj
    In this paper, using generalized convexity assumptions, we show that M-stationary condition is sufficient for global or local optimality under some mathematical programming problem with equilibrium constraints(MPEC). Further, we formulate and study Wolfe type and Mond-Weir type dual models for the MPEC, and we establish weak and strong duality theorems. � 2021 Faculty of Organizational Sciences, Belgrade. All rights reserved.
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    Mathematical programs involving e-convex functions
    (Politechnica University of Bucharest, 2021) Joshi, Bhuwan Chandra; Pankaj
    In this paper, we have shown that generalized M-stationary condition is sufficient for global optimality under the assumptions of E-convexity and mathematical programming problems with equilibrium constraints. Further, we formulate and study Wolfe type and Mond-Weir type dual models for the MPEC and we establish weak and strong duality theorems relating to the MPEC and the two dual models. � 2021, Politechnica University of Bucharest. All rights reserved.
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    Vector Variational Inequalities in Terms of Fr�chet Subdifferentials with Genralized Convex Function
    (International Publications, 2022) Joshi, Bhuwan Chandra; Mohan, Rakesh; Pankaj
    In this paper,nonsmooth vector optimization problem involving approximate starshaped preinvex functions and strongly locally starshaped invex functions in terms of the Fr�chet subdifferentials is considered. Further, we derive optimality conditions for a point to be a local sharp and local weak sharp efficient solution of the vector optimization problem involving approximately starshaped preinvex and strongly locally starshaped invex functions in terms of the Fr�chet subdifferentials and superdifferentials. In order to justify the theorems some examples are also given. � 2022, International Publications. All rights reserved.