Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type
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Date
2007
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Abstract
We prove a common fixed point theorem of Gregus type for four mappings satisfying a contractive condition
of integral type in metric spaces using the concept of weak compatibility which generalizes Theorem 2
of [A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc.
10 (2003) 369–378] and other papers. We prove also common fixed point theorems of Gregus type using a
strict contractive condition of integral type, a property (E.A) and a common property (E.A) introduced by
[M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions,
J. Math. Anal. Appl. 270 (2002) 181–188] and [W. Liu, J. Wu, Z. Li, Common fixed points of single-valued
and multi-valued maps, Int. J. Math. Math. Sci. 19 (2005) 3045–3055], respectively.
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Keywords
Weakly compatible mappings, Common fixed point, Metric space