Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition

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Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition

Authors
Publisher
Department of Mathematics, University of Osijek
Keywords
  • Fixed Point Theorem
  • Occasionally Weakly Compatible
  • Symmetric Space

Abstract

We obtain several fixed point theorems for a class of operators called occasionally weakly compatible maps defined on a symmetric space satisfying a generalized contractive condition. These results establish some of the most general fixed point theorems for four maps. Our theorem generalizes Theorem 1 of [A. Aliouche, A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322(2006),796-802] and Theorem 1 of [X. Zhang, Common fixed point theorems for some new generalized contractive type mappings, J. Math. Anal. Appl. 333(2007), 780-786] and those contained therein.

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