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- Title
COMMON FIXED POINT THEOREMS OF MEIR-KEELER TYPE IN METRIC SPACES.
- Authors
ABTAHI, MORTAZA
- Abstract
This paper is a continuation of the recent work [M. Abtahi, Fixed point theorems for Meir-Keeler type contractions in metric spaces, Fixed Point Theory, 17(2016), No. 2, 225-236]. After establishing a criterion for sequences in metric spaces to be Cauchy, unified simple proofs for several known results on the existence of a common fixed point for compatible pairs of mappings of complete metric spaces satisfying a contractive condition of Meir-Keeler type are obtained. A very general common fixed point theorem, corresponding to the fixed point theorem of Proinov [P.D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557], is presented. Examples are given to support the results.
- Subjects
FIXED point theory; METRIC spaces; CONTRACTIONS (Topology)
- Publication
Fixed Point Theory, 2017, Vol 18, Issue 1, p17
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2017.1.02