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Higher-Order Non-Symmetric Duality for Nondifferentiable Minimax Fractional Programs with Square Root Terms
In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for...
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A New Approach on Mixed-Type Nondifferentiable Higher-Order Symmetric Duality
In this paper, a new mixed-type higher-order symmetric duality in scalar-objective programming is formulated. In the literature we have results...
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New k-Conformable Fractional Integral Inequalities
A new integral identity using the concepts of k-conformable fractional calculus is obtained. Utilizing the preinvexity property of the functions...
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On vector variational-like inequalities and vector optimization problems with (G, α)-invexity
The aim of this paper is to study the relationship among Minty vector variational-like inequality problem, Stampacchia vector variational-like...
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Optimization in Partially Ordered Spaces
In this chapter, we introduce solution concepts for vector- as well as set-valued optimization problems and derive characterizations by nonlinear...
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Approximate Benson efficient solutions for set-valued equilibrium problems
In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and...
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Optimality and Duality in Nonsmooth Conic Vector Optimization
This article is concerned with a nonsmooth vector optimization problem involving conic constraints. We employ some advanced tools of variational...
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Invex optimization revisited
Given a non-convex optimization problem, we study conditions under which every Karush–Kuhn–Tucker (KKT) point is a global optimizer. This property is...
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Interval-Valued Programming Problem with Infinite Constraints
In this paper, we explore a class of interval-valued programming problem where constraints are interval-valued and infinite. Necessary optimality...
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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds
This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, MSIPSC) in the...
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General Preinvex Functions and Variational-Like Inequalities
In this paper, we define and introduce some new concepts of the higher order strongly general preinvex functions and higher order strongly monotone...
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Vector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming
In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some...
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Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming
In this paper, we perform optimality conditions and sensitivity analysis for parametric nonconvex minimax programming problems. Our aim is to study...
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A Constant Rank Constraint Qualification in Continuous-Time Nonlinear Programming
The paper addresses continuous-time nonlinear programming problems with equality and inequality constraints. First and second order necessary...
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\((\mathrm{p},\mathrm{q})\)-Analysis of Montgomery identity and estimates of \((\mathrm{p},\mathrm{q})\)-bounds with applications
The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum...
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Efficiency for variational control problems on Riemann manifolds with geodesic quasiinvex curvilinear integral functionals
In this paper, we formulate and prove necessary and sufficient conditions of geodesic efficiency associated with a new class of multiobjective...
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The Characterization of Efficiency and Saddle Point Criteria for Multiobjective Optimization Problem with Vanishing Constraints
In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An...