A Meir-Keeler type common fixed point theorem for four mappings

• Autorzy: Akkouchi M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

common fixed point for four mappings; weakly compatible mappings; Meir-Keeler type contractive condition; complete metric spaces

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 1
• Strony: 5--14
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Akkouchi M.

• Université Cadi Ayyad Faculté des Sciences-Semlalia Département de Mathématiques Av. Prince My Abdellah, BP. 2390 Marrakech Maroc (Morocco),

Bibliografia

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