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International Journal of Mathematical Analysis and Applications

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Common Fixed Point Theorems in Metric Spaces

International Journal of Mathematical Analysis and Applications
Vol.4 , No. 3, Publication Date: Aug. 30, 2017, Page: 13-20

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Authors

[1]	Mohamed Ahmed, Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt.
[2]	Alaa Kamal, Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt.
[3]	Hatem AbdelkarimNafadi, Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt.

Abstract

In this paper, we rewrite the notion of CLR-property and occasionally coincidentally idempotent for hybrid pairs of L-fuzzy and crisp mappings in metric spaces, we also establish common fixed point theorems for L-fuzzy and crisp mappings in metric spaces. Further, we give an example to support our results. Finally, we prove our results for sequence of L-fuzzy mappings in metric spaces. Both of integral type and usual contractive condition may be used. These theorems extend, generalize and improve corresponding previous results.

Keywords

L-fuzzy Map, Crisp Map, Common Fixed Point

Reference

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