Interval variational inequalities and their relationship with interval optimization problems

DOI10.1007/s41478-023-00588-1OpenAlexW4380434124MaRDI QIDQ6118977

Tanmoy Som, Gourav Kumar

Publication date: 21 March 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-023-00588-1

zbMATH Keywords

variational inequalityefficient solutioninterval-valued functioninterval optimization problem

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Cites Work

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• KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions
• Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions
• Fractional calculus for interval-valued functions
• A generalization of Tychonoff's fixed point theorem
• New efficiency conditions for multiobjective interval-valued programming problems
• Goal programming problems with interval coefficients and target intervals
• An interval nonlinear program for the planning of waste management systems with economies-of-scale effects -- a case study for the region of Hamilton, Ontario, Canada
• Wolfe duality for interval-valued optimization
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• Variational inequalities, complementarity problems, and duality theorems
• Calculus for interval functions of a real variable
• Multiobjective programming in optimization of interval objective functions -- a generalized approach
• Minimax regret solution to linear programming problems with an interval objective function
• Portfolio selection problem with interval coefficients
• Interval analysis: Theory and applications
• Interval mathematics, algebraic equations and optimization
• Nonsmooth multiobjective problems and generalized vector variational inequalities using quasi-efficiency
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• A saddle point characterization of efficient solutions for interval optimization problems
• Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
• Efficient solution of interval optimization problem
• General KKM theorem with applications to minimax and variational inequalities
• Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in prisoners' dilemma game theory using TOPSIS: a case study on human-trafficking
• A variable and a fixed ordering of intervals and their application in optimization with interval-valued functions
• Extended Karush-Kuhn-Tucker condition for constrained interval optimization problems and its application in support vector machines
• Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions
• Duality gap in interval linear programming
• The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
• On interval-valued nonlinear programming problems
• Multiobjective programming in optimization of the interval objective function
• Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions
• Introduction to Interval Analysis
• Algorithms for Linear Programming Problems with Interval Objective Function Coefficients
• A fixed point theorem and its applications to a system of variational inequalities
• Generalized variational inequalities and its applications
• An Introduction to Variational Inequalities and Their Applications
• Vector Variational Inequalities and Vector Optimization
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Existence of solution of constrained interval optimization problems with regularity concept
• A gap function and existence of solutions for a non-smooth vector variational inequality on Hadamard manifolds
• Optimality conditions for invex interval valued nonlinear programming problems involving generalized H-derivative
• Sufficiency and duality for nonsmooth interval-valued optimization problems via generalized invex-infine functions

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