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01/04/2007 · We extend the notion of R-weak commutativity and its variants to probabilistic metric spaces and prove common fixed point theorems concerning them. Examples are included to reflect upon the distinctiveness of the types of mappings defined in the paper. It was the turning point in the “fixed point arena " when the notion of weak commutativity was introduced by Sessa  as a sharper tool to obtain common fixed points of mappings. As a result, all the results on fixed point theorems for commuting mappings were easily transformed in …
Let be a complete metric space and let and be -weakly commuting self-mappings of satisfying the following conditions: (a); (b) or is continuous; (c) for all , where is a continuous and nondecreasing function such that for each and . Then and have a unique common fixed point. Proof.
On Common Fixed Point Theorem In Complete Metric Space which are more general than commuting and weakly commuting mappings. In this section we prove a common ﬂxed point theorem for two pairs of weakly compatible mappings in complete metric spaces using a contractive modulus. Fixed point theorems for generalized weakly contractive mappings 217 T : X !X satisfying the above inequality is said to be weakly contractive with respect to fand if fis the identity mapping, T is said to be weakly contractive. De nition 3. (generalized weakly contractive multi-valued mappings). A multi-
A Common Fixed Point Theorem for Multivalued Mappings Through T-weak Commutativity I. Kubiaczyk and Bhavana Deshpande Abstract. In this paper, we prove a common ﬁxed point theorem for a single-valued and the multivalued mappings by using T-weak commutativity condi-tion. We also show that continuity of any mapping is not needed for the Common Fixed Point Theorems for Weakly Compatible Mappings in Fuzzy Metric Spaces Using (JCLR) Property* Sunny Chauhan. 1, Wutiphol Sintunavarat. 2#, Poom Kumam. 2# 1. R. H. Government Postgraduate College, Kashipur, India . 2. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok
Weakly commuting mappings after thirty years in metric fixed point theory-Funzioni debolmente commutative dopo trenta anni in teoria metrica dei punti fissi on Amazon.com. *FREE* shipping on qualifying offers. Weakly commuting mappings after thirty years in metric fixed point theory-Funzioni debolmente commutative dopo trenta anni in teoria metrica dei punti fissi Some Fixed Point Theorems of R-Weakly Commuting Mappings in Multiplicative Metric Spaces Laishram SHANJIT1, Yumnam ROHEN1, P.P. MURTHY2, 1National Institute of Technology Manipur D.M. College of Science, Imphal 2Guru GhasidasVishwavidalaya, Bilaspur …