A Generalization of Meir-Keeler Type Common Fixed Point Theorem For Four Noncontinuous Mappings

Authors

  • Valeriu Popa Department of Mathematics, University of Bacau, Bacau, Romania

DOI:

https://doi.org/10.5644/SJM.01.1.12

Keywords:

Fixed point, compatible mappings, weakly compatible mappings, implicit relation

Abstract

In this paper, using a combination of methods used in [1], [20] and [22] the results from [3, Theorem 1], [14, Theorem 1] and [15, Theorem 1] are improved removing the assumption of continuity, relaxing compatibility to the weak compatibility property and replacing the completeness of the space with a set of four alternative conditions for four functions satisfying an implicit relation.

 

2000 Mathematics Subject Classification. 54H25

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References

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Published

12.06.2024

How to Cite

Popa, V. (2024). A Generalization of Meir-Keeler Type Common Fixed Point Theorem For Four Noncontinuous Mappings. Sarajevo Journal of Mathematics, 1(1), 135–142. https://doi.org/10.5644/SJM.01.1.12

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