On a pair of fuzzy mappings in modular-like metric spaces with applications

Tahair Rasham; Abdullah Shoaib; Choonkill Park; Ravi P. Agarwal; Hassen Aydi

doi:10.1186/s13662-021-03398-6

On a pair of fuzzy mappings in modular-like metric spaces with applications

Tahair Rasham
, Abdullah Shoaib
, Choonkill Park^*
, Ravi P. Agarwal
, Hassen Aydi^*

^*Corresponding author for this work

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

15 Citations (Scopus)

Abstract

The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated mappings which forms a rational fuzzy dominated V-contraction in modular-like metric spaces. Some results via a partial order and using the graph concept are also developed. We apply our results to ensure the existence of a solution of nonlinear Volterra-type integral equations.

Original language	English
Article number	245
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03398-6
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

Graphic contraction
Integral equation
Modular-like metric space
Ordered set
Pair of fuzzy mappings

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10.1186/s13662-021-03398-6

Cite this

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AU - Aydi, Hassen

PY - 2021/12

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AB - The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated mappings which forms a rational fuzzy dominated V-contraction in modular-like metric spaces. Some results via a partial order and using the graph concept are also developed. We apply our results to ensure the existence of a solution of nonlinear Volterra-type integral equations.

KW - Graphic contraction

KW - Integral equation

KW - Modular-like metric space

KW - Ordered set

KW - Pair of fuzzy mappings

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On a pair of fuzzy mappings in modular-like metric spaces with applications

Abstract

Keywords

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