On common α-fuzzy fixed points with applications-Reference-Cited by-同舟云学术

On common α-fuzzy fixed points with applications

Published:2014-11-28 Issue:1 Volume:2014 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Latif Abdul,Roldán-López-de-Hierro Antonio-Francisco,Sintunaravat Wutiphol

Abstract

Abstract In this paper, we introduce a notion of α-continuity of fuzzy mappings and some generalized contractive conditions for α-level sets. Then we prove some theorems on the existence of common α-fuzzy fixed points for a pair of fuzzy mappings. Consequently, we obtain some results on metric spaces endowed with binary relations, and graphs. Further, using α-fuzzy fixed point techniques we obtain common fixed point results for multi-valued mappings on metric spaces.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2014-234.pdf

Reference32 articles.

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