Tangential Extremal Principles for Finite and Infinite Systems of Sets, II: Applications to Semi-infinite and Multiobjective Optimization
Boris S. Mordukhovich, Hung M. Phan
TL;DR
This paper applies newly developed tangential extremal principles to derive calculus rules and optimality conditions for semi-infinite and multiobjective optimization problems involving infinite and countable constraints.
Contribution
It introduces novel applications of extremal principles to semi-infinite and multiobjective optimization, extending the theoretical framework from Part I.
Findings
Derived calculus rules for infinite intersections of sets
Established optimality conditions for semi-infinite programming
Extended extremal principles to multiobjective optimization
Abstract
This paper contains selected applications of the new tangential extremal principles and related results developed in Part I to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and multiobjective optimization with countable constraints
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Optimization Algorithms Research · Fixed Point Theorems Analysis