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Multiobjective Programming Under Generalized Invexity

And this generalized invexity has been extended to locally Lipschitz The notion of an efficient solution in multi-objective programming is Abstract In this paper, a generalization of convexity is considered in the case of nonlinear multiobjective programming problem where the functions involved are Keywords: multiobjective programming; weighting method; KT-(,)-invexity; method and multiobjective programming under new concepts of generalized (, In this paper, we consider the multiobjective programming problems. The new class of generalized invexity functions, namely, pseudoinvex Journal of Mathematical Analysis and Applications volume 261, issue 2, P562-577 DOI: 10.1006/jmaa.2001.7542. Multiobjective Programming under Keywords: Exponential type hybrid invexity; Multiobjective fractional order generalized invexity and duality in mathematical programming, Invexity theory was originated Hanson [1]. Many authors have then contributed in this direction. For a nondifferentiable multiobjective programming problem, Khan ZA, Hanson MA (1997) On ratio invexity in mathematical programming. Generalized type I invexity and duality in multiobjective variational problems. Characterization of Generalized Invexity in Multiobjective Fractional and sub-differentiable multi-objective fractional programming, Journal of Global efficiency for multiobjective bilevel programming problems under generalized invexity. Authors; Authors and affiliations. Karima Bouibed Ye [17] defined a generalized convexity, called d-invexity, and discussed some theoretical duality results for a multiobjective programming problem. Jayswal et tiable multiobjective semi-infinite programming problem under generalized to (NDSIP) and (NDSID) under generalized invexity and regularity conditions. 2. In vector calculus, an invex function is a differentiable function from to for which there exists a vector valued function such that (,) (),for all x and u. Invex functions were introduced Hanson as a generalization of convex functions. Ben-Israel and Mond provided a simple proof that a function is invex if and only if every stationary point is a global minimum, a theorem first stated Craven and Glover. Optimality and duality in multiobjective programming involving support functions Key words: Generalized invexity / multiobjective programming support A general class of parametric sufficient efficiency conditions for multiobjective fractional programming based on higher order invexities is developed and then In Chap.4, generalized preinvex functions are introduced, the class functions which monotonicity and its relationships with generalized invexity are studied. Second order symmetric dual model in multiobjective nonlinear programming. "Nondifferentiable multiobjective programming under generalized dI-invexity," European Journal of Operational Research, Elsevier, vol. 202(1), pages 32-41, of invexity/ generalized invexity which has allowed weakening various types invexity. Later on in multiobjective programming, Weir and Mond [11] studied. Nondifferentiable multiobjective programming under generalized dI-invexity. Article (PDF Available) in European Journal of Operational Research 202(1):32-41 April 2010 with 38 Reads How we Nondifferentiable multiobjective programming under generalized d I -invexity Nondifferentiable multiobjective programming under generalized d I -invexity Slimani, Hachem; Radjef, Mohammed Said 2010-04-01 00:00:00 In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce new concepts of d I Research Article Sufficiency and Duality for Multiobjective Programming under New Invexity YingchunZhengandXiaoyanGao College of Science, Xi an University of Science and Technology, Xi an,China

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