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Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions
- Source :
- Applied General Topology, Vol 19, Iss 1, Pp 65-84 (2018)
- Publication Year :
- 2018
- Publisher :
- Universitat Politècnica de València, 2018.
-
Abstract
- In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those are contained in Berzig [J. Fixed Point Theory Appl. 12, 221-238 (2012))] and Alam and Imdad [To appear in Filomat (arXiv:1603.09159 (2016))]. Interestingly, a corollary to one of our main results under symmetric closure of a binary relation remains a sharpened version of a theorem due to Berzig. Finally, we use examples to highlight the accomplished improvements in the results of this paper.
Details
- Language :
- English
- ISSN :
- 15769402 and 19894147
- Volume :
- 19
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Applied General Topology
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.48e7a33aed1246c3afbb9afb84bf2531
- Document Type :
- article
- Full Text :
- https://doi.org/10.4995/agt.2018.7677