Results 11 to 20 of about 2,821,191 (109)
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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Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions [PDF]
Journal of Applied Mathematics, 2012 In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions.
GuoLin Yu
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A class of generalized invex functions and vector variational-like inequalities
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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On Semi-(B,G)-Preinvex Functions [PDF]
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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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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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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Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
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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Modified Courant-Beltrami penalty function and a duality gap for invex optimization problem
International Journal for Simulation and Multidisciplinary Design Optimization, 2019 In this paper, we modified a Courant-Beltrami penalty function method for constrained optimization problem to study a duality for convex nonlinear mathematical programming problems. Karush-Kuhn-Tucker (KKT) optimality conditions for the penalized problem
Hassan Mansur, Baharum Adam
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Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems [PDF]
Journal of Applied Mathematics, 2013 The concepts of preinvex and invex are extended to the interval-valued functions. Under the assumption of invexity, the Karush-Kuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived ...
Jianke Zhang
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Up and Down
Axioms, 2022 The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are ...
Muhammad Bilal Khan +3 more
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