Some Extended Results for Multivalued F-Contraction Mappings
Abstract
:1. Introduction and Preliminaries
- (F)
- For all with , we have
- (F)
- For every sequence , if
- (F)
- There is satisfying
- ()
- ()
- there exists the sequence , such that
- (i)
- if then
- (ii)
- if and then
2. Main Results
3. Homotopy Result
- (i)
- for all and ,
- (ii)
- there exist and , such that, for all
- (iii)
- for all , is lower semi-continuous on Δ.
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Sahin, H.; Aslantas, M.; Nasir Nasir, A.A. Some Extended Results for Multivalued F-Contraction Mappings. Axioms 2023, 12, 116. https://doi.org/10.3390/axioms12020116
Sahin H, Aslantas M, Nasir Nasir AA. Some Extended Results for Multivalued F-Contraction Mappings. Axioms. 2023; 12(2):116. https://doi.org/10.3390/axioms12020116
Chicago/Turabian StyleSahin, Hakan, Mustafa Aslantas, and Ali Abdulkareem Nasir Nasir. 2023. "Some Extended Results for Multivalued F-Contraction Mappings" Axioms 12, no. 2: 116. https://doi.org/10.3390/axioms12020116