# On the existence problem of solutions to a class of fuzzy mixed exponential vector variational inequalities

Volume 11, Issue 7, pp 916--926
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.

### 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
• ordered Euclidean spaces

•  47H09
•  47J20

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