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Solvability of generalized vector bifunction variational inequality problem
In this paper, we discuss the solution of generalized vector bifunction variational inequalities of Stampachhia and Minty types with the concept of...
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Robust Mathematical Programming Problems Involving Vanishing Constraints via Strongly Invex Functions
This manuscript demonstrates robust optimality conditions, Wolfe and Mond–Weir type robust dual models for a robust mathematical programming problem...
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Generalized integral Jensen inequality
In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and...
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Well-posedness of generalized vector variational inequality problem via topological approach
In this paper, we discuss well-posedness for a generalized vector variational inequality problem (GVVIP, in short) in the framework of topological...
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On Generalized Vector Variational-Like Inequalities and Nonsmooth Multiobjective Programming Problems Using Limiting Subdifferential
In this article, we study generalized Minty and Stampacchia vector variational-like inequalities with their weaker forms and nonsmooth multiobjective...
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Sufficiency and Duality for Nonsmooth Interval-Valued Optimization Problems via Generalized Invex-Infine Functions
In this paper, a new concept of generalized-affineness type of functions is introduced. This class of functions is more general than some of the...
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Optimality and duality for E-minimax fractional programming: application to multiobjective optimization
In this paper, we study the notion of strong invexity with respect to the E -operator. We discuss the necessary and sufficient conditions for the...
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Higher Order Variational Symmetric Duality Over Cone Constraints
The prime objective of our discussions moves around the higher order variational symmetric dual pairs for which constraints are defined over cones...
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Generalized Set-valued Nonlinear Variational-like Inequalities and Fixed Point Problems: Existence and Approximation Solvability Results
The paper is devoted to the introduction of a new class of generalized set-valued nonlinear variational-like inequality problems in the setting of...
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A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity
In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality...
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System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive map**s: graph convergence and fixed point problems
In this paper, with the goal of investigating the problem of finding a common element of the set of fixed points of a nearly asymptotically...
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E-Univex Sets, E-Univex Functions and E-Differentiable E-Univex Programming
In this paper, we introduce a new concept of sets and a new class of functions called E -univex sets and E -univex functions, respectively. For an E -dif...
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Semi-infinite Multi-dimensional Variational Control Problem with Data Uncertainty
Semi-infinite optimization problem is one of the most important optimization problem that optimizes the objective function with respect to possibly...
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Some New Classes of Higher Order Strongly Generalized Preinvex Functions
In this chapter, we define and introduce some new concepts of the higher order strongly generalized preinvex functions and higher order strongly...
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On Semi-infinite Mathematical Programming Problems with Equilibrium Constraints Using Generalized Convexity
In this paper, we consider semi-infinite mathematical programming problems with equilibrium constraints (SIMPPEC). By using the notion of...
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Robust Duality for Multi-dimensional Variational Control Problem with Data Uncertainty
Duality is a powerful tool to study optimization problems. This is because duality principles relate a pair of optimization problems, known as primal...
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Second-order optimality conditions for interval-valued functions
This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and...
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The study of certain optimization problems via variational inequalities
In this paper, by using some generalized convexity and differentiability (of Fréchet-type) hypotheses of the involved functionals, we establish...
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A pair of Mond–Weir type third order symmetric duality
In this framework, a pair of Mond–Weir type third order symmetric nonlinear programming problems are introduced. Appropriate duality theorems are...
