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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.
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).