A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

Shazia Kanwal; Akbar Azam; Muhammad Gulzar; Gustavo Santos-García

doi:10.3390/math10193673

A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

Shazia Kanwal
, Akbar Azam
, Muhammad Gulzar
, Gustavo Santos-García^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this work, we design and demonstrate the occurrence of L-fuzzy common fixed points of L-fuzzy mappings (L-FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.

Original language	English
Article number	3673
Journal	Mathematics
Volume	10
Issue number	19
DOIs	https://doi.org/10.3390/math10193673
State	Published - Oct 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 by the authors.

Keywords

F-contraction
Hausdorff metric space
L-fuzzy common fixed point
L-fuzzy mapping
b-metric space

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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10.3390/math10193673

Cite this

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title = "A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction",

abstract = "In this work, we design and demonstrate the occurrence of L-fuzzy common fixed points of L-fuzzy mappings (L-FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.",

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author = "Shazia Kanwal and Akbar Azam and Muhammad Gulzar and Gustavo Santos-Garc{\'i}a",

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AU - Gulzar, Muhammad

AU - Santos-García, Gustavo

PY - 2022/10

Y1 - 2022/10

N2 - In this work, we design and demonstrate the occurrence of L-fuzzy common fixed points of L-fuzzy mappings (L-FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.

AB - In this work, we design and demonstrate the occurrence of L-fuzzy common fixed points of L-fuzzy mappings (L-FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.

KW - F-contraction

KW - Hausdorff metric space

KW - L-fuzzy common fixed point

KW - L-fuzzy mapping

KW - b-metric space

UR - https://www.scopus.com/pages/publications/85139756872

U2 - 10.3390/math10193673

DO - 10.3390/math10193673

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JF - Mathematics

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ER -

A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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