Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems

DOI10.1016/J.INS.2022.11.133MaRDI QIDQ6492558

Hao-Ren Yao, Ram Surat Chauhan, Radko Mesiar, Anshika, Debdas Ghosh

Publication date: 25 April 2024

Published in: Information Sciences (Search for Journal in Brave)

zbMATH Keywords

efficient solutioninterval optimizationinterval-valued functionFritz-John-type conditionKKT-type conditionnonconvex composite model

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Calculus of variations and optimal control; optimization (49-XX)

Related Items (1)

Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability

Cites Work

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• KKT optimality conditions in interval valued multiobjective programming with generalized differentiable functions
• Subgradient method for nonconvex nonsmooth optimization
• Calculus for interval-valued functions using generalized Hukuhara derivative and applications
• Nonsmooth interval-valued optimization and saddle-point optimality criteria
• Newton method to obtain efficient solutions of the optimization problems with interval-valued objective functions
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• Calculus for interval functions of a real variable
• A note on optimality conditions for DC programs involving composite functions
• A saddle point characterization of efficient solutions for interval optimization problems
• A quasi-Newton method with rank-two update to solve 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
• Generalized-Hukuhara penalty method for optimization problem with interval-valued functions and its application in interval-valued portfolio optimization problems
• Generalized Hukuhara-Clarke derivative of interval-valued functions and its properties
• Interval-valued value function and its application in interval optimization problems
• 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
• A numerical solution method to interval quadratic programming
• The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
• The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function
• 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
• An aggregate subgradient method for nonsmooth convex minimization
• Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
• Optimality Condition and Mixed Duality for Interval-Valued Optimization
• First-Order Methods in Optimization
• Composite Optimization by Nonconvex Majorization-Minimization

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