Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/58812
Title: On optimization via ϵ-generalized weak subdifferentials
Authors: P. Cheraghi
A. P. Farajzadeh
S. Suantai
Authors: P. Cheraghi
A. P. Farajzadeh
S. Suantai
Keywords: Mathematics
Issue Date: 1-Apr-2018
Abstract: © 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, we study ϵ-generalized weak subdifferential for functions defined on a real topological vector space. Some necessary and sufficient conditions for having nonempty ϵ-generalized weak subdifferential of a function are presented. The positively homogenous of the ϵ-generalized weak subdifferential operator is proved. A necessary and sufficient conditions for achieving a global minimum of a ϵ-generalized weak subdifferentiable function is stated. A link between sudifferential and Fréchet differential with ϵ-generalized weak subdifferential is established. Finally a result about the equality of the fuzzy sum rule inclusion is investigated.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046352187&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58812
ISSN: 16860209
Appears in Collections:CMUL: Journal Articles

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