A class of generalized invex functions and vector variational-like inequalities [PDF]
Journal of Inequalities and Applications, 2017 In this paper, a class of generalized invex functions, called ( α , ρ , η ) $(\alpha,\rho,\eta)$ -invex functions, is introduced, and some examples are presented to illustrate their existence.
Ru Li, Guolin Yu
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Vector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming [PDF]
Journal of Inequalities and Applications, 2017 In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some examples are presented to illustrate their existences.
Zhen Wang, Ru Li, Guolin Yu
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Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 The Wolfe-type model over arbitrary cones is a new sort of model that we introduce in this article. We defend duality theorems under more generalized higher-order assumptions in the section after this.
Rajnish Kumar +2 more
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Higher order duality in multiobjective fractional programming problem with generalized convexity [PDF]
Yugoslav Journal of Operations Research, 2017 We have introduced higher order generalized hybrid B -(b,ρ,θ,˜ρ,˜r)-invex function. Then, we have estabilished higher order weak, strong and strict converse duality theorems for a multiobjective fractional programming problem with support ...
Pankaj, Joshi Bhuwan Chandra
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Invex functions and duality [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1985 AbstractFor both differentiable and nondifferentiable functions defined in abstract spaces we characterize the generalized convex property, here called cone-invexity, in terms of Lagrange multipliers. Several classes of such functions are given.
Craven, B. D., Glover, B. M.
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Integral Majorization Theorem for Invex Functions [PDF]
Abstract and Applied Analysis, 2014 We obtain some general inequalities and establish integral inequalities of the majorization type for invex functions. We give applications to relative invex functions.
Muhammad Adil Khan +2 more
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E-invexity and generalized E-invexity in E-differentiable multiobjective programming [PDF]
ITM Web of Conferences, 2019 In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E ...
Abdulaleem Najeeb
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Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function [PDF]
Arab Journal of Mathematical Sciences, 2020 The authors discover a new identity concerning differentiable mappings defined on m-invex set via fractional integrals. By using the obtained identity as an auxiliary result, some fractional integral inequalities for generalized relative semi- m-(r;h1,h2)
Artion Kashuri, Rozana Liko
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Multiobjective fractional programming problems and the sufficient condition involving Hb – (p, r)-η- invex function [PDF]
MATEC Web of Conferences, 2021 On the basis of arcwise connected convex functions and (p, r) −η - invex functions, we established Hb –(p, r) –η- invex functions. Based on the generalized invex assumption of new functions, the solutions of a class of multiobjective fractional ...
Gao Xiaoyan, Niu Huan
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On Characterizations of Prequasi-Invex Functions
Journal of Optimization Theory and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, H. Z., Xu, Z. K.
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