Hybrid pair of multivalued mappings in modular-like metric spaces and applications

Tahair Rasham; Muhammad Nazam; Hassen Aydi; Abdullah Shoaib; Choonkil Park; Jung Rye Lee

doi:10.3934/math.2022590

Hybrid pair of multivalued mappings in modular-like metric spaces and applications

Tahair Rasham
, Muhammad Nazam
, Hassen Aydi^*
, Abdullah Shoaib
, Choonkil Park^*
, Jung Rye Lee

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued α_∗-dominated mappings involving a generalized Q-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.

Original language	English
Pages (from-to)	10582-10595
Number of pages	14
Journal	AIMS Mathematics
Volume	7
Issue number	6
DOIs	https://doi.org/10.3934/math.2022590
Publication status	Published - 2022
Externally published	Yes

Keywords

fixed point
generalized Q-contraction
graphic contraction
integral equation
α-dominated multivalued mapping

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10.3934/math.2022590

Cite this

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abstract = "Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued α∗-dominated mappings involving a generalized Q-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.",

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AU - Nazam, Muhammad

AU - Aydi, Hassen

AU - Shoaib, Abdullah

AU - Park, Choonkil

AU - Lee, Jung Rye

PY - 2022

Y1 - 2022

N2 - Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued α∗-dominated mappings involving a generalized Q-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.

AB - Our aim is to prove some new fixed point theorems for a hybrid pair of multivalued α∗-dominated mappings involving a generalized Q-contraction in a complete modular-like metric space. Further results involving graphic contractions for a pair of multi-graph dominated mappings have been considered. Applying our obtained results, we resolve a system of nonlinear integral equations.

KW - fixed point

KW - generalized Q-contraction

KW - graphic contraction

KW - integral equation

KW - α-dominated multivalued mapping

UR - https://www.scopus.com/pages/publications/85128128928

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DO - 10.3934/math.2022590

M3 - Article

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Hybrid pair of multivalued mappings in modular-like metric spaces and applications

Abstract

Keywords

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