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A unified common fixed point theorem for a family of mappings
- Source :
- Filomat. 35:759-769
- Publication Year :
- 2021
- Publisher :
- National Library of Serbia, 2021.
-
Abstract
- The main objective of the paper is to prove some unified common fixed point theorems for a family of mappings under a minimal set of sufficient conditions. Our results subsume and improve a host of common fixed point theorems for contractive type mappings available in the literature of the metric fixed point theory. Simultaneously, we provide some new answers in a general framework to the problem posed by Rhoades (Contemp Math 72, 233-245, 1988) regarding the existence of a contractive definition which is strong enough to generate a fixed point, but which does not force the mapping to be continuous at the fixed point. Concrete examples are also given to illustrate the applicability of our proved results.
- Subjects :
- Discrete mathematics
General Mathematics
Common fixed point theorem
Mathematics
Subjects
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 35
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........53dceb3f2cb3ffe9c751ac043dd0e000