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Jayswal, Anurag,Ahmad, I.,Prasad, Ashish Kumar The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we have taken step in the direction to establish weak, strong and strict converse duality theorems for three types of dual models related to multiojective fractional programming problems involving ($H_p$, r)-invex functions.
Jayswal, Anurag,Stancu-Minasian, I.M. The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this paper, we introduce new classes of generalized convex n-set functions called $d$-weak strictly pseudo-quasi type-I univex, $d$-strong pseudo-quasi type-I univex and $d$-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized $d$-type-I univexity conditions.
Anurag Jayswal,I.M. Stancu-Minasian 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this paper, we introduce new classes of generalized convex n-set functions called d-weak strictly pseudo-quasi type-I univex, d-strong pseudo-quasi type-I univex and d-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized d-type-I univexity conditions.
DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS INVOLVING (Hρ, r)-INVEX FUNCTIONS
Anurag Jayswal,I. Ahmad,Ashish Kumar Prasad 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we have taken step in the direction to establish weak, strong and strict converse duality theorems for three types of dual models related to multiojective fractional programming problems involving (Hp,r)-invex functions.