TY  - JOUR
ID  - Akkouchi2011
LB  - Akkouchi2011
AU  - Akkouchi, Mohamed
TI  - A Meir-Keeler type common fixed point theorem for four mappings
ST  - A Meir-Keeler type common fixed point theorem for four mappings
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 1
SP  - 5
EP  - 14
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.1.5
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.1.5
AB  - In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a metric space satisfying a weak Meir-Keeler type contractive condition by using a class of implicit relations. In particular, our result generalizes and improves a result of K. Jha, R.P. Pant, S.L. Singh, by removing the assumption of continuity, relaxing compatibility to weakly compatibility property and replacing the completeness of the space with a set of four alternative conditions for maps satisfying an implicit relation. Also, our result improves the main result of H. Bouhadjera, A. Djoudi.
KW  - common fixed point for four mappings
KW  - weakly compatible mappings
KW  - Meir-Keeler type contractive condition
KW  - complete metric spaces
SN  - 1232-9274
ER  -