Some Common Fixed Point Theorems for Single-Valued and Multi-Valued Mappings in Metric Spaces

Krishnadhan Sarkar¹ , Kalishankar Tiwary²

Section:Review Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.419-424, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.419424

Online published on Aug 31, 2018

Copyright © Krishnadhan Sarkar, Kalishankar Tiwary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we prove some common fixed point theorems for single-valued and multi-valued mappings, with the help of CLR property and OWC property in metric spaces. In this paper we prove our main theorems in two parts; in part (A) we use OWC property and in part (B) we use CLR property. We also give some examples, corollaries and remarks. These theorems generalize, extend and improve many existing results available in this literature.

Key-Words / Index Term :
CLR property, OWC property, Common Fixed Point, Weakly Compatible Mapping

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