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Existence, Approximation and Stability of Fixed Point for Cirić Contraction in Convex b-Metric Spaces
- Source :
- Axioms, Vol 12, Iss 7, p 646 (2023)
- Publication Year :
- 2023
- Publisher :
- MDPI AG, 2023.
-
Abstract
- We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Cirić contraction with the assumption k<1s2. Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem.
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 12
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.0d6331ea507143bda48549d05b0d2162
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms12070646