Indian Journal of Science and Technology
Year: 2022, Volume: 15, Issue: 37, Pages: 1842-1849
V Sambasiva Rao1*, Uma Dixit2
1Department of Mathematics, Osmania University, Hyderabad, 500007, Telangana, India
2Department of Mathematics, University Post Graduate College, Osmania University,
Secunderabad, 500003, Telangana, India
Email: [email protected]
Received Date:16 May 2022, Accepted Date:14 July 2022, Published Date:26 September 2022
Objective : The present paper is an attempt to improve results on fixed point theorems for four pairwise occasionally weakly compatible (owc) mappings in S-metric spaces. Method: We have applied quadratic inequality to prove certain fixed-point results for four pairwise owc mappings under weaker conditions using (CLR) property. Findings: We have generalized and expanded some already existing results in the literature and new results are obtained that generated the common fixed points in S-metric spaces. Befitting examples are given to support our findings. Novelty: Existence and uniqueness of fixed points in S-metric spaces are established by using (CLRFG) property even in the absence of containment conditions. 2010 Mathematics Subject Classification: 47H10, 54H25
Keywords: Smetric Space; Coincidence Point; Common Fixed Point; Occasional Weak Compatibility; (CLR) Property
© 2022 Rao & Dixit. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Published By Indian Society for Education and Environment (iSee)
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