On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities
Volume 11, Issue 7, pp 916--926
http://dx.doi.org/10.22436/jnsa.011.07.04
Publication Date: May 17, 2018
Submission Date: October 18, 2017
Revision Date: December 01, 2017
Accteptance Date: December 09, 2017
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Authors
Shih-Sen Chang
- Center for General Education, China Medical University, Taichung 40402, Taiwan.
S. Salahuddin
- Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia.
Ching-Feng Wen
- Center for Fundamental Science; and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan.
- Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan.
Xiong Rui Wang
- Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China.
Abstract
In this research article, we deal with a new kind of mixed
exponential fuzzy vector variational inequalities in ordered
Euclidean spaces. By using KKM-technique and Nadler's fixed point
theorem, we prove some existence theorems of solutions to mixed
exponential vector variational inequality problems in fuzzy
environment.
Share and Cite
ISRP Style
Shih-Sen Chang, S. Salahuddin, Ching-Feng Wen, Xiong Rui Wang, On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities , Journal of Nonlinear Sciences and Applications, 11 (2018), no. 7, 916--926
AMA Style
Chang Shih-Sen, Salahuddin S., Wen Ching-Feng, Wang Xiong Rui, On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities . J. Nonlinear Sci. Appl. (2018); 11(7):916--926
Chicago/Turabian Style
Chang, Shih-Sen, Salahuddin, S., Wen, Ching-Feng, Wang, Xiong Rui. "On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities ." Journal of Nonlinear Sciences and Applications, 11, no. 7 (2018): 916--926
Keywords
- Mixed exponential vector variational inequality problems
- fuzzy mappings
- fuzzy upper and lower semicontinuous mappings
- \(\alpha_g\)-relaxed exponentially \((\gamma,\eta)\)-monotone mapping
- KKM-mappings
- Nadler's fixed points theorem
- ordered Euclidean spaces
MSC
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