Georgian Mathematical Journal 13 (2006), No. 1, 001--006
Copyright Heldermann Verlag 2006
A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
Mohamed Akkouchi
University Cadi Ayyad, Faculty of Sciences Semlalia, Dept. of Mathematics, Av. Prince My Abdellah, Marrakech, Morocco
akkouchimo@yahoo.fr
We prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak [An. Univ. Timisoara Ser. Mat.-Inform. 36 (1998) 101--108] and a result obtained by B. Fisher and S. Sessa [Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 16 (1986) 45--59].
Keywords: Common fixed points in metric spaces, weakly commuting mappings, compatible mappings, compatible mappings of type (A), compatible mappings of type (B), weakly compatible mappings.
MSC: 54H25, 47H10
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