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Common \(\alpha\)-fuzzy fixed point theorems for fuzzy mappings via \(\beta_{\mathcal {F}}\)-admissible pair. (English) Zbl 1338.54053
Summary: The object of this paper is to extend the concept of \(\beta\)-admissible for multivalued mappings due to B. Mohammadi et al. [Fixed Point Theory Appl. 2013, Article ID 24, 10 p. (2013; Zbl 1423.54090)] to fuzzy mappings and utilize this concept to prove a common \(\alpha\)-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result.

MSC:
54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
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