Results 111 to 120 of about 767,552 (139)
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Invex Functions and Generalized Convexity in Multiobjective Programming
Journal of Optimization Theory and Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osuna-Gómez, Rafaela +2 more
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Higher‐order generalized invexity in variational problems
Mathematical Methods in the Applied Sciences, 2012We introduce higher‐order duality (Mangasarian type and Mond–Wier type) of variational problems. Under higher‐order generalized invexity assumptions on functions that compose the primal problem, higher‐order duality results (weak duality, strong duality, and converse duality) are derived for this pair of problems.
Padhan, S. K., Nahak, C.
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Generalized invexity-type conditions in constrained optimization
Journal of Systems Science and Complexity, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shashi Kant Mishra, Norma G. Rueda
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Nondifferentiable multiobjective programming under generalized -invexity
European Journal of Operational Research, 2010The point of this paper is, that a generalized invexity for vector functions is introduced, where each component of such a vector function is directionally differentiable in its own direction instead of a same direction \(d\). Using this kind of invexity the authors get new classes of multiobjective programming problems slightly different from such ...
Hachem Slimani, Mohammed Said Radjef
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Generalized invexity of nonsmooth functions
Nonlinear Analysis: Theory, Methods & Applications, 2008In the first part of the paper the relations between several kinds of generalized invexity are studied for locally Lipschitz continuous functions. The kinds of generalized invexity which are considered comprise (quasi, strict quasi) preinvexity, quasi invexity, (strict) pseudo invexity, and new concepts of invexity called weak invexity and weak quasi ...
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Generalizedb-invex vector valued functions
Journal of Statistics and Management Systems, 2002Summary: The aim of this paper is to provide some first results regarding to the extension to the vector valued case of the \(b\)-invex functions. Some definitions are given for both the nonsmooth case and the differentiable case; the inclusion relationships among the introduced families of functions are studied and some results regarding to vector ...
CAMBINI, RICCARDO, BECTOR C. R.
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Minimax Programming Under Generalized (p, r)-Invexity
Journal of Systems Science and Complexity, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shashi Kant Mishra +2 more
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Generalized invexity and duality theories with multifunctions
Numerical Functional Analysis and Optimization, 1994Some generalizations of invexity for multifunctions (pseudoinvex, pseudo-quasiinvex, quasi-strictly pseudoinvex …) are introduced and are used to extend the duality theories of Wolfe and Mond-Weir to optimization problems with multifunctions in the objective and in the constraints. Sufficiency results are also given.
P.H. Sach, N.D. Yen, B.D. Craven
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Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Jabarootian, Jafar Zafarani
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Optimality Conditions Under Generalized Type I Invexity
2013 Ninth International Conference on Computational Intelligence and Security, 2013In this paper, new classes of generalized type I functions are introduced by combining the concepts of B- (p, r, a)-invex function and generalized type I function. several optimality sufficient conditions are obtained for multi-objective programming under weaker convexity.
Xiangyou Li, Qingxiang Zhang
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