Chatterjea type theorems for complex valued extended $ b $-metric spaces with applications

Afrah Ahmad Noman Abdou; Afrah Ahmad Noman Abdou

doi:10.3934/math.2023977

AIMS Mathematics

2023, Volume 8, Issue 8: 19142-19160. doi: 10.3934/math.2023977

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Research article

Chatterjea type theorems for complex valued extended $ b $-metric spaces with applications

Afrah Ahmad Noman Abdou ^,

Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia

Received: 04 March 2023 Revised: 19 May 2023 Accepted: 29 May 2023 Published: 07 June 2023
MSC : 46S40, 47H10, 54H25

In this article, we establish common $ \alpha $ -fuzzy fixed point theorems for Chatterjea type contractions involving rational expression in complex valued extended $ b $-metric space. Our results generalize and extend some familiar results in the literature. Some common fixed point results for multivalued and single valued mappings are derived for complex valued extended $ b $-metric space, complex valued $ b $-metric space and complex valued metric space as consequences of our leading results. As an application, we investigate the solution of Fredholm integral inclusion.
- fuzzy mapping,
- common $ \alpha $ -fuzzy fixed point,
- complex valued extended $ b $-metric space,
- Fredholm integral inclusion
Citation: Afrah Ahmad Noman Abdou. Chatterjea type theorems for complex valued extended $ b $-metric spaces with applications[J]. AIMS Mathematics, 2023, 8(8): 19142-19160. doi: 10.3934/math.2023977

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Abstract

In this article, we establish common $ \alpha $ -fuzzy fixed point theorems for Chatterjea type contractions involving rational expression in complex valued extended $ b $-metric space. Our results generalize and extend some familiar results in the literature. Some common fixed point results for multivalued and single valued mappings are derived for complex valued extended $ b $-metric space, complex valued $ b $-metric space and complex valued metric space as consequences of our leading results. As an application, we investigate the solution of Fredholm integral inclusion.

References

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