Coincidence point theorems in probabilistic and fuzzy metric spaces

Authors:
Yicheng Liu;Zhixiang Li
Affiliations:
Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha, 410073, China;Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha, 410073, China
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 4
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Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

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Abstract

In this paper, we prove some new coincidence point theorems for a hybrid pair of single- and multi-valued mappings under more generalized contractive conditions in Menger spaces and generalized Menger spaces. Our results can be applied to the theory of the fuzzy metric spaces. By relaxing some conditions, several recent results given by Zikic-Dos@?enovic, Mihet and Ghaemi and Razani are extended.