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Unique common fixed point theorem using simulation function fulfilling common limit in the range property.
- Source :
- AIP Conference Proceedings; 2024, Vol. 3139 Issue 1, p1-8, 8p
- Publication Year :
- 2024
-
Abstract
- In the current research paper we have defined rationalized Ξ-contraction for four mappings. In b-metric, using simulation function, for rationalized Ξ-contraction fulfilling the weakly compatible condition for four mappings in pairs, fulfilling conjoint limit range property, a unique common fixed point theorem has been proved. The conclusion has been tested by not using the situation of completeness for b-metric space. The outcome is an improvement and generalization of [2, 4, 6] existing in metric space and b-metric spaces. To back-up the result a supporting example is also discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- METRIC spaces
GENERALIZATION
FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 3139
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 178879846
- Full Text :
- https://doi.org/10.1063/5.0224561