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Proving unified common fixed point theorems via common property (E-A) in symmetric spaces. (English) Zbl 1210.54060
Summary: A metrical common fixed point theorem proved for a pair of self mappings due to K. P. Sastry and 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 R. P. Pant [J. Math. Anal. Appl. 240, No. 1, 280–283 (1999; Zbl 0933.54031)] and 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:
54H25Fixed-point and coincidence theorems in topological spaces
47H10Fixed point theorems for nonlinear operators on topological linear spaces