Prederivatives of gamma paraconvex set-valued maps and Pareto optimality conditions for set optimization problems

Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with [Formula: see text] . Then, in terms of prederivatives, we establish both necessary and suff...

Descripción completa

Detalles Bibliográficos
Autores principales: Huang, Hui, Ning, Jixian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5625006/
https://www.ncbi.nlm.nih.gov/pubmed/29046606
http://dx.doi.org/10.1186/s13660-017-1519-4
Descripción
Sumario:Prederivatives play an important role in the research of set optimization problems. First, we establish several existence theorems of prederivatives for γ-paraconvex set-valued mappings in Banach spaces with [Formula: see text] . Then, in terms of prederivatives, we establish both necessary and sufficient conditions for the existence of Pareto minimal solution of set optimization problems.

Ejemplares similares