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ON MULTIOBJECTIVE GENERALIZED SYMMETRIC DUAL PROGRAMS WITH $\rho-(\eta,0)$-INVEXITY
Nahak, C. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
A pair of multiobjective generalized symmetric dual non-linear programming problems and weak strong and converse dual-ity theorems for these problems are established under generalized $\rho-(\eta,0)$-invexity assumptions. Several known results are obtained as special cases.
DUALITY FOR MULTIOBJECTIVE FRACTIONAL CONTROL PROBLEMS WITH GENERALIZED INVEXITY
Nahak, C.,Nanda, S. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.2
Wolfe and Mond-Weir type duals for multiobjective con-trol problems are formulated. Under pseudo-invexity/quasi-invexity assumptions of the functions involved, weak and strong duality the-orems are proved to relate efficient solutions of the primal and dual problems.
Jana, Shreyasi,Nahak, Chandal The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.3
In this paper, by using the notion of ${\rho}$-(p,r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond-Weir, Wolfe and mixed type) are established on differentiable manifolds. Counterexample is constructed to justify that our investigations are more general than the existing work available in the literature.
OPTIMIZATION PROBLEMS WITH DIFFERENCE OF SET-VALUED MAPS UNDER GENERALIZED CONE CONVEXITY
DAS, K.,NAHAK, C. The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.1
In this paper, we establish the necessary and sufficient Karush-Kuhn-Tucker (KKT) conditions for an optimization problem with difference of set-valued maps under generalized cone convexity assumptions. We also study the duality results of Mond-Weir (MW D), Wolfe (W D) and mixed (Mix D) types for the weak solutions of the problem (P).
OPTIMIZATION PROBLEMS WITH DIFFERENCE OF SET-VALUED MAPS UNDER GENERALIZED CONE CONVEXITY
K. DAS,C. NAHAK 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.1
In this paper, we establish the necessary and sufficient Karush- Kuhn-Tucker (KKT) conditions for an optimization problem with difference of set-valued maps under generalized cone convexity assumptions. We also study the duality results of Mond-Weir (MWD), Wolfe (WD) and mixed (Mix D) types for the weak solutions of the problem (P).
Shreyasi Jana,Chandal Nahak 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.3
In this paper, by using the notion of ρ-(p,r)-invexity assumptions on the functions involved, optimality conditions and duality results (Mond-Weir, Wolfe and mixed type) are established on differentiable manifolds. Counterexample is constructed to justify that our investigations are more general than the existing work available in the literature.