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Access Type

WSU Access

Date of Award

January 2023

Degree Type

Dissertation

Degree Name

Ph.D.

Department

Mathematics

First Advisor

Boris Mordukhovich

Abstract

The dissertation studies calculus (sum and chain) rules for subdifferentials of ordered set-valued mappings with their applications to set-valued optimizations. Particularly, by using the obtained calculus rules, we derive the existence condition for optimal solutions and necessary optimality conditions in various classses of constrained set-valued optimization problems in infinite-dimensonal settings. Many examples are given and discussed in finite-dimensional settings as well.

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