Some generalized fixed point results of Banach and $ \acute{C} $iri$ \acute{C} $ type in extended fuzzy $ b $-metric spaces with applications

Badshah-e-Rome; Muhammad Sarwar; Kamal Shah; Bahaaeldin Abdalla; Thabet Abdeljawad; Badshah-e-Rome; Muhammad Sarwar; Kamal Shah; Bahaaeldin Abdalla; Thabet Abdeljawad

doi:10.3934/math.2022774

AIMS Mathematics

2022, Volume 7, Issue 8: 14029-14050. doi: 10.3934/math.2022774

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Research article

Some generalized fixed point results of Banach and $ \acute{C} $iri$ \acute{C} $ type in extended fuzzy $ b $-metric spaces with applications

1.
Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan
2.
Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
3.
Department of Medical Research, China Medical University, Taichung, Taiwan

Received: 14 April 2022 Revised: 15 May 2022 Accepted: 20 May 2022 Published: 27 May 2022
MSC : Primary 47H10; Secondary 54H25

In this paper, some generalized fixed point results of Banach and $ \acute{C} $iri$ \acute{c} $ type in the context of extended fuzzy $ b $-metric spaces are established. For authenticity of the aforesaid results a nontrivial supporting example is also provided. Eventually, an application for the existence of a solution for an integral equation is established which shows corporeality of the obtained results. The presented work generalizes some well known fixed point results from the existing literature.
- fixed point,
- extended fuzzy $ b $-metric spaces,
- Banach and $ \acute{C} $iri$ \acute{c} $ type contractions,
- integral equation
Citation: Badshah-e-Rome, Muhammad Sarwar, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad. Some generalized fixed point results of Banach and $ \acute{C} $iri$ \acute{C} $ type in extended fuzzy $ b $-metric spaces with applications[J]. AIMS Mathematics, 2022, 7(8): 14029-14050. doi: 10.3934/math.2022774

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Abstract

In this paper, some generalized fixed point results of Banach and $ \acute{C} $iri$ \acute{c} $ type in the context of extended fuzzy $ b $-metric spaces are established. For authenticity of the aforesaid results a nontrivial supporting example is also provided. Eventually, an application for the existence of a solution for an integral equation is established which shows corporeality of the obtained results. The presented work generalizes some well known fixed point results from the existing literature.

References

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