Results 81 to 90 of about 2,821,191 (109)
A class of functions called semi--preinvex functions is defined as a generalization of semi--convex functions. Similarly, the concept of semi--quasiconvex functions is also generalized to semi--prequasiinvex functions.
E. Stanley Lee, Yu-Ru Syau
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Generalized
New concepts of generalized invex functions for non-differentiable functions and generalized invariant monotone operators for set-valued mappings are introduced.
Yang Xinmin, Liu Caiping
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ON STRONGLY GENERALIZED PREINVEX FUNCTIONS
In this paper, we define and introduce some new concepts of strongly ϕ-preinvex (ϕ-invex) functions and strongly ϕη-monotone operators. We establish some new relationships among various concepts of ϕ-preinvex (ϕ-invex) functions.
Khalida Inayat Noor, Muhammad Aslam Noor
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Tyt. z nagłówka.Bibliogr. s. 680-681.In this paper, we generalize the notion of B-(p, r)-invexity introduced by Antczak in [A class of B-(p; r)-invex functions and mathematical programming, J. Math. Anal. Appl.
Antczak, Tadeusz.
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Invex Nonsmooth Alternative Theorem And Applications
An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established ...
Rojas-Medar M.A. +2 more
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Motivado por investigaciones recientes en la literatura, se introduce un marco general para una clase de funciones -invex n-set de orden superior y se exploran algunos resultados sobre condiciones de epsilon-optimalidad para objetivos multiples ...
Ram U Verma
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A Study of Geodesic ( E , F )-Preinvex Functions on Riemannian Manifolds
In this manuscript, we define the ( E , F ) -invex set, ( E , F ) -invex functions, and ( E , F ) -preinvex functions on Euclidean space, i.e., simply vector space. We extend these concepts on the Riemannian manifold.
Musavvir Ali +2 more
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Geodesicb-preinvex functions and multiobjective optimization problems on riemannian manifolds
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.
Huang, Nan-Jing +2 more
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Exact penalty functions method for mathematical programming problems involving invex functions
In this paper, some new results on the exact penalty function method are presented. Simple optimality characterizations are given for the differentiable nonconvex optimization problems with both inequality and equality constraints via exact penalty ...
Antczak, Tadeusz
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(P, R)-Invex Sets and Functions
Journal of Mathematical Analysis and Applications, 2001Tadeusz Antczak
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