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Common fixed point theorems for weakly compatible quasi contraction mappings

✍ Scribed by Lj. B. Ćirić; Lj. B. Ćirić; Lj. B. Ćirić; N. T. Nikolić; N. T. Nikolić; N. T. Nikolić; Ume J. S.; Ume J. S.; Ume J. S.

Publisher
Akadmiai Kiad
Year
2006
Tongue
English
Weight
183 KB
Volume
113
Category
Article
ISSN
1588-2632

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In this paper, we obtain some common fixed point theorems for occasionally weakly compatible mappings on a set X together with the function d : X × X → [0, ∞) without using the triangle inequality and assuming symmetry only on the set of points of coincidence.

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In this paper the existence and approximation of a unique common fixed point of two families of weakly compatible self-maps on a complete metric space are investigated. An example is presented to show that our results for the mappings considered satisfying non-linear contractive type conditions are