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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.
Recommended Citation
Nguyen, Oanh, "Subdifferentials Calculus For Ordered Set-Valued Mappings And Applications To Set-Valued Optimizations" (2023). Wayne State University Dissertations. 3888.
https://digitalcommons.wayne.edu/oa_dissertations/3888