Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1091
Title: Unified common fixed point theorems under weak reciprocal continuity or without continuity
Authors: Kadelburg, Zoran 
Imdad, Mohammad
Chauhan, Sunny
Keywords: Coincidentally commuting;Compatible mappings;Implicit relation;Metric space;R-weakly commuting mappings;Weak reciprocal continuity
Issue Date: 1-Jan-2014
Journal: Applied General Topology
Abstract: 
The purpose of this paper is two fold. Firstly, using the notion of weak reciprocal continuity due to Pant et al. [Weak reciprocal conti- nuity and fixed point theorems, Ann. Univ. Ferrara Sez. VII Sci. Mat. 57(1), 181-190 (2011)], we prove unified common fixed point theorems for various variants of compatible and R-weakly commuting mappings in complete metric spaces employing an implicit relation which covers a multitude of contraction conditions yielding thereby known as well as unknown results as corollaries. Secondly, we point out that more natural results can be proved under relatively tighter conditions if we replace the completeness of the space by completeness of suitable sub- spaces. The realized improvements in our results are also substantiated using appropriate examples. © AGT, UPV, 2014.
URI: https://research.matf.bg.ac.rs/handle/123456789/1091
ISSN: 19894147
DOI: 10.4995/agt.2014.1823
Appears in Collections:Research outputs

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