Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
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

Highlights
Master Server