Abstract
In this paper, we obtain some fixed point theorems for fuzzy mappings in a left K-sequentially complete quasi-pseudo-metric space and in a right K-sequentially complete quasi-pseudo-metric space, respectively. Our analysis is based on the fact that fuzzy fixed point results can be obtained from the fixed point theorem of multivalued mappings with closed values. It is observed that there are many situations in which the mappings are not contractive on the whole space but they may be contractive on its subsets. We feel that this feature of finding the fuzzy fixed points via closed balls was overlooked, and our paper will re-open the research activity into this area.
Highlights
The fixed points of fuzzy mappings were initially studied by Weiss [ ] and Butnariu [ ]
Heilpern [ ] initiated the idea of fuzzy contraction mappings and proved a fixed point theorem for fuzzy contraction mappings which is a fuzzy analogue of Nadler’s [ ] fixed point theorem for multivalued mappings
Gregori and Pastor [ ] proved a fixed point theorem for fuzzy contraction mappings in left K-sequentially complete quasi-pseudo-metric spaces
Summary
The fixed points of fuzzy mappings were initially studied by Weiss [ ] and Butnariu [ ]. Gregori and Pastor [ ] proved a fixed point theorem for fuzzy contraction mappings in left K-sequentially complete quasi-pseudo-metric spaces. In [ ] the authors considered a generalized contractive-type condition involving fuzzy mappings in left K-sequentially complete quasi-metric spaces and established the fixed point theorem which is an extension of [ , Theorem ].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
