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Zbl 0977.54037
Sastry, K.P.R.; Krishna Murthy, I.S.R.
Common fixed points of two partially commuting tangential selfmaps on a metric space. (English)
[J] J. Math. Anal. Appl. 250, No.2, 731-734 (2000). ISSN 0022-247X

Two selfmaps $f$ and $g$ of a metric space $(X,d)$ are said to be noncompatible if there exists some sequence $\{x_n\}$ such that $\lim_{n\to \infty} f(x_n)= \lim_{n\to \infty} g(x_n)$ but $\lim_{n\to \infty} d(f(g(x_n)), g(f(x_n)))$ is either nonzero or nonexistent. In this paper the authors prove two common fixed point theorems for a pair of selfmaps on a metric space without using the full force of noncompatibility and relaxing the Lipschitz type condition.
[I.A.Rus (Cluj-Napoca)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces

Keywords: tangential selfmaps; noncompatible pair of selfmaps; common fixed point; Lipschitz type condition

Cited in: Zbl 1213.54066 Zbl 1210.54060 Zbl 1145.54040

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