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.
Ahmed Hussein Soliman, Mohammad Imdad, and Mohammad Hasan
Al-Azhar University, Aligarh Muslim University, Aligarh Muslim University
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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