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Common Fixed Point Theorem via Cyclic (α,β)-(ψ,φ)S-Contraction with Applications
- Source :
- Symmetry, Vol 11, Iss 2, p 198 (2019), Symmetry, Volume 11, Issue 2
- Publication Year :
- 2019
- Publisher :
- MDPI AG, 2019.
-
Abstract
- In this paper, we introduce the notion of cyclic ( &alpha<br />&beta<br />) - ( &psi<br />&phi<br />) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.
- Subjects :
- Pure mathematics
Physics and Astronomy (miscellaneous)
lcsh:Mathematics
General Mathematics
functional equations
010102 general mathematics
b-metric spaces
lcsh:QA1-939
01 natural sciences
b-(CLR) property
010101 applied mathematics
Mathematics::K-Theory and Homology
common fixed points
Chemistry (miscellaneous)
cyclic-(α,β)-admissible mapping
Computer Science (miscellaneous)
Common fixed point
0101 mathematics
Contraction (operator theory)
Common fixed point theorem
Mathematics
Subjects
Details
- ISSN :
- 20738994
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....8f125dd0a51adf681dcaf7a3a66e9782
- Full Text :
- https://doi.org/10.3390/sym11020198