Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions | Zendy

Hachem Slimani | Zendy; Shashi Kant Mishra | Zendy

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Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions

Author(s) -

Hachem Slimani,

Shashi Kant Mishra

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/496149

Subject(s) - mathematics , type (biology) , duality (order theory) , fractional programming , multiobjective programming , nonlinear programming , nonlinear system , dual (grammatical number) , mathematical optimization , pure mathematics , multi objective optimization , ecology , physics , quantum mechanics , biology , art , literature

We study a nonlinear multiple objective fractional programming with inequalityconstraints where each component of functions occurring in theproblem is considered semidifferentiable along its own direction instead ofthe same direction. New Fritz John type necessary and Karush-Kuhn-Tuckertype necessary and sufficient efficiency conditions are obtained for a feasiblepoint to be weakly efficient or efficient. Furthermore, a general Mond-Weirdual is formulated and weak and strong duality results are proved usingconcepts of generalized semilocally V-type I-preinvex functions. This contributionextends earlier results of Preda(2003), Mishra et al. (2005), Niculescu(2007), and Mishra and Rautela (2009), and generalizes results obtained in the literature onthis topic

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