Common fixed point theorems for maps under a contractive condition of integral type |
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| Authors: | A Djoudi F Merghadi |
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| Institution: | Laboratoire de Mathématiques Appliquées, Université de Annaba, Faculté des Sciences, Département de Mathématiques, PO Box 12, 23000 Annaba, Algeria |
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| Abstract: | Two common fixed point theorems for mapping of complete metric space under a general contractive inequality of integral type and satisfying minimal commutativity conditions are proved. These results extend and improve several previous results, particularly Theorem 4 of Rhoades B.E. Rhoades, Two fixed point theorems for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 63 (2003) 4007-4013] and Theorem 4 of Sessa S. Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) (N.S.) 32 (46) (1982) 149-153]. |
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| Keywords: | Weakly compatible maps Common fixed point Contractive condition of integral type |
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