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Higher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequality
In this paper, we introduce new classes of higher order generalized strong invex functions under non-differentiable settings. The optimality results...
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Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity
In this paper, a class of E -differentiable vector optimization problems with both inequality and equality constraints is considered. The so-called...
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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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Multi-objective Symmetric Fractional Programming Problem and Duality Relations Under \((C,G_{f},\alpha ,\rho ,d)\) -Invexity over Cone Constraints
We propose the idea of \((C,G_{f},\alpha ,\rho ,d)\) -invex function and give a significant numerical example which explains the existence of this...
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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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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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Mathematical programs with vanishing constraints involving strongly invex functions
In this paper, we study Wolfe and Mond–Weir type dual models for a special class of optimization problems known as the mathematical programs with...
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Vector Variational-Like Inequalities on the Space of Real Square Matrices
In this paper, “Vector Variational-like Inequalities” and “Vector Optimization Problems” have been discussed over the space of real square matrices....
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Some Results on Mathematical Programs with Equilibrium Constraints
Mathematical programs with equilibrium constraints (MPEC) are special class of constrained optimization problems. The feasible set of MPEC violates...
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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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Duality for fractional interval-valued optimization problem via convexificator
In the current study, non-differentiable fractional interval-valued optimization problem (NFIVP) is studied by considering generalized invex...
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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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New Class of Multiobjective Fractional Symmetric Programming with Cone Functions Under Generalized Assumptions
In this chapter, a pair of nondifferentiable multiobjective symmetric fractional duality models with cone function are formulated in a vector...
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Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification
Variational analysis, a subject that has been vigorously develo** for the past 40 years, has proven itself to be extremely effective at describing...
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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...
