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Zbl 1210.54060
Soliman, Ahmed Hussein; Imdad, Mohammad; Hasan, Mohammad
Proving unified common fixed point theorems via common property (E-A) in symmetric spaces. (English)
[J] Commun. Korean Math. Soc. 25, No. 4, 629-645 (2010). ISSN 1225-1763

Summary: A metrical common fixed point theorem proved for a pair of self mappings due to {\it K. P. Sastry} and {\it I. S. R. Murthy} [J. Math. Anal. Appl. 250, No.~2, 731--734 (2000; Zbl 0977.54037)] is extended to symmetric spaces which in turn unifies certain fixed point theorems due to {\it R. P. Pant} [J. Math. Anal. Appl. 240, No.~1, 280--283 (1999; Zbl 0933.54031)] and {\it S.-H. Cho} et al. [Fixed Point Theory Appl. 2008, Article ID 562130, 9 p. (2008; Zbl 1169.54020)] besides deriving some related results. Some illustrative examples to highlight the realized improvements are also furnished.

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

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

Citations: Zbl 0977.54037; Zbl 0933.54031; Zbl 1169.54020

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