Common Fixed Point Theorem in Metric Spaces of Fisher and Sessa

Authors

  • Alireza Valipour Baboli Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University.
  • Mohammad Bagher Ghaemi School of Mathematics,Iran University of Science and Technology

DOI:

https://doi.org/10.30495/jme.v9i0.339

Keywords:

Common fixed point, commuting and compatible maps, compact space.

Abstract

In this note it is shown that T and I have a unique common fixed point on a compact subset C of a metric space X,where T and I are two self maps on C; I is non-expansive and the pair (T; I)is weakly commuting. further we show this result by replacing compatibility instead of weakly commutativity pair(T; I) and continuity instead of non-expansiveness of I.

Author Biographies

Alireza Valipour Baboli, Department of Mathematics, College of Basic Sciences, Karaj Branch, Islamic Azad University.

Department of Mathematics

Mohammad Bagher Ghaemi, School of Mathematics,Iran University of Science and Technology

Department of Mathematics

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Published

2015-09-29

Issue

Vol. 9

Section

Vol. 9, No. 4, (2015)

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