On Invex Sets and Preinvex Functions
Journal of Mathematical Analysis and Applications, 1995 Conditions are given when invex implies preinvex. This is generalized to prequasiinvex.
Mohan, S.R., Neogy, S.K.
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Sufficient optimality criteria and duality for multiobjective variational control problems with G-type I objective and constraint functions [PDF]
, 2014 In the paper, we introduce the concepts of G-type I and generalized G-type I functions for a new class of nonconvex multiobjective variational control problems.
Antczak, Tadeusz
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Nonsmooth semi-infinite roughly B-invex multi-objective programming problems
Results in Control and Optimization, 2023 In this paper, we will study a nonsmooth semi-infinite multi-objective programming problem involving roughly B-invex functions. Sufficient optimality conditions for the primal problem are derived. We shall formulate Mond–Weir type dual and establish weak
Tarek Emam
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Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems [PDF]
, 2014 In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the considered multitime multiobjective variational ...
Antczak, Tadeusz, Pitea, Ariana
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Optimality and duality on Riemannian manifolds [PDF]
, 2018 Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds.
Hernández Jiménez, Beatriz +3 more
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On Semi-(B,G)-Preinvex Functions
Abstract and Applied Analysis, 2012 We firstly construct a concrete semi-invex set which is not invex. Basing on concept of semi-invex set, we introduce some kinds of generalized convex functions, which include semi-(B,G)-preinvex functions, strictly semi-(B,G)-preinvex functions and ...
Xiaoling Liu, D. H. Yuan
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On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity
Abstract and Applied Analysis, 2012 By using Clarke’s generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called K-α-generalized invex, K-α-nonsmooth invex, and other related functions.
Hehua Jiao, Sanyang Liu
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Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds
Journal of Applied Mathematics, 2014 We introduce a class of functions called geodesic B-preinvex and geodesic B-invex functions on Riemannian manifolds and generalize the notions to the so-called geodesic quasi/pseudo B-preinvex and geodesic quasi/pseudo B-invex functions.
Sheng-lan Chen +2 more
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Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V-Type I Invex Functions
Journal of Inequalities and Applications, 2010 A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a ...
Jayswal A +3 more
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Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity
Journal of Applied Mathematics, 2013 We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B-p,r-invex functions with respect to η and b. We introduce a new concept of nonconvex functions, called exponential B-p,r-invex functions.
Shun-Chin Ho
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