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Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem
Joint Authors
Yu, GuoLin
Gong, Tiantian
Yu, Guolin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-25
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This note is devoted to the investigation of optimality conditions for robust approximate quasi weak efficient solutions to a nonsmooth uncertain multiobjective programming problem (NUMP).
Firstly, under the extended nonsmooth Mangasarian–Fromovitz constrained qualification assumption, the optimality necessary conditions of robust approximate quasi weak efficient solutions are given by using an alternative theorem.
Secondly, a class of generalized convex functions is introduced to the problem (NUMP), which is called the pseudoquasi-type-I function, and its existence is illustrated by a concrete example.
Finally, under the pseudopseudo-type-I generalized convexity hypothesis, the optimality sufficient conditions for robust approximate quasi weak efficient solutions to the problem (NUMP) are established.
American Psychological Association (APA)
Yu, GuoLin& Yu, Guolin& Gong, Tiantian. 2020. Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145858
Modern Language Association (MLA)
Yu, GuoLin…[et al.]. Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1145858
American Medical Association (AMA)
Yu, GuoLin& Yu, Guolin& Gong, Tiantian. Optimality Conditions for a Nonsmooth Uncertain Multiobjective Programming Problem. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1145858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145858