Abstract
After the introduction of almost contraction due to Berinde, the branch of metric fixed point theory has attracted much attention in this direction, and various fixed point results have been proved for almost contractions via different approaches. In this paper, the results on existence and uniqueness of fixed points are proved employing almost contraction conditions in the framework of metric space endowed with binary relation. Finally, some examples are constructed, which substantiate the utility of the newly proved results.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference27 articles.
1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
2. Approximating fixed points of weak contractions using the Picard iteration;Berinde;Nonlinear Anal. Forum,2004
3. Fixed points and continuity of almost contractions;Berinde;Fixed Point Theory,2008
4. Some results on fixed points;Kannan;Bull. Calcutta Math. Soc.,1968
5. Fixed point theorems
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