Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 213, Issue 2, Pages 348-354Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.03.027
Keywords
Metric space; Generalized quasi contractions; Common fixed point; Compatible mappings; Sequentially commutative mappings
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A common fixed point theorem for weakly commuting quasi contractive self mappings with contracting orbital diameters in metric spaces [V. Berinde, A common fixed point theorem for quasi contractive type mappings, Ann. Univ. Sci. Budapest. 46 (2003) 81-90] is extended to the more general class of compatible quasi contractive self mappings. Our result does extend and generalize numerous related results in literature. (C) 2009 Elsevier Inc. All rights reserved.
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