Some results for multivalued mappings in extended fuzzy $ b $-metric spaces

Samina Batul; Faisar Mehmood; Azhar Hussain; Reny George; Muhammad Sohail Ashraf; Samina Batul; Faisar Mehmood; Azhar Hussain; Reny George; Muhammad Sohail Ashraf

doi:10.3934/math.2023268

AIMS Mathematics

2023, Volume 8, Issue 3: 5338-5351. doi: 10.3934/math.2023268

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Some results for multivalued mappings in extended fuzzy $ b $-metric spaces

1.
Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
2.
Department of Mathematics, University of Chakwal, Chakwal, Pakistan
3.
Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Received: 11 September 2022 Revised: 18 November 2022 Accepted: 24 November 2022 Published: 15 December 2022
MSC : 47H10, 54H25

In this paper, some fixed point results for multivalued contractions are established in setting $ G $-complete extended fuzzy $ b $-metric spaces. An example is furnished to demonstrate the validity of results. An application of integral type inclusion is given to authenticate the theorems. Our results extend and generalize many existing results in literature.
- fuzzy metric space,
- fuzzy $ b $-metric space,
- extended fuzzy $ b $-metric space,
- multivalued mapping
Citation: Samina Batul, Faisar Mehmood, Azhar Hussain, Reny George, Muhammad Sohail Ashraf. Some results for multivalued mappings in extended fuzzy $ b $-metric spaces[J]. AIMS Mathematics, 2023, 8(3): 5338-5351. doi: 10.3934/math.2023268

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Abstract

In this paper, some fixed point results for multivalued contractions are established in setting $ G $-complete extended fuzzy $ b $-metric spaces. An example is furnished to demonstrate the validity of results. An application of integral type inclusion is given to authenticate the theorems. Our results extend and generalize many existing results in literature.

References

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