Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2010; 25(4): 629-645

Printed December 1, 2010

https://doi.org/10.4134/CKMS.2010.25.4.629

Copyright © The Korean Mathematical Society.

Proving unified common fixed point theorems via common property (E-A) in symmetric spaces

Ahmed Hussein Soliman, Mohammad Imdad, and Mohammad Hasan

Al-Azhar University, Aligarh Muslim University, Aligarh Muslim University

Abstract

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A metrical common fixed point theorem proved for a pair of self mappings due to Sastry and Murthy (\cite{Sastry}) is extended to symmetric spaces which in turn unifies certain fixed point theorems due to Pant (\cite{Pant99}) and Cho et al. (\cite{Cho}) besides deriving some related results. Some illustrative examples to highlight the realized improvements are also furnished.

Keywords: compatible mappings, non-compatible mappings, partially commuting mappings, $R$-weakly commuting mappings, tangential mappings, Lipschitz mapping, coincidence point and fixed point

MSC numbers: Primary 54H25; Secondary 47H10

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