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.
M. Adil Khan +2 more
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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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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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Logarithmic penalty function method for invex multi-objective fractional programming problems [PDF]
Journal of Taibah University for Science, 2020 In this paper, a new logarithmic penalty function method is used for solving nonlinear multi-objective fractional programming problems (MOFPP) involving invex objectives and constraints functions with respect to the same function η.
Mansur Hassan +2 more
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Riemann–Liouville Fractional Integral Inequalities for Generalized Pre-Invex Functions of Interval-Valued Settings Based upon Pseudo Order Relation [PDF]
Mathematics, 2022 The concepts of convex and non-convex functions play a key role in the study of optimization. So, with the help of these ideas, some inequalities can also be established. Moreover, the principles of convexity and symmetry are inextricably linked.
Muhammad Bilal Khan +4 more
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Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions [PDF]
Cubo, 2011 In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established.
Xiaoling Liu +4 more
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Journal of Inequalities and Applications, 2009 New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced.
Caiping Liu, Xinmin Yang
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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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On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions [PDF]
Yugoslav Journal of Operations Research, 2013 A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke ...
Jayswal Anurag +2 more
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