Fixed point theorems in modular G-metric spaces

Godwin Amechi Okeke; Daniel Francis; Manuel de la Sen; Mujahid Abbas

doi:10.1186/s13660-021-02695-8

Fixed point theorems in modular G-metric spaces

Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen, Mujahid Abbas

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

8 Citations (Scopus)

Abstract

We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

Original language	English
Article number	163
Journal	Journal of Inequalities and Applications
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13660-021-02695-8
Publication status	Published - 2021
Externally published	Yes

Keywords

Contractive mapping
Existence and uniqueness
Fixed point
Modular G-continuity
Modular G-metric spaces
Operators
Weakly compatible
Δ -type condition

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-021-02695-8

Cite this

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abstract = "We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.",

keywords = "Contractive mapping, Existence and uniqueness, Fixed point, Modular G-continuity, Modular G-metric spaces, Operators, Weakly compatible, Δ -type condition",

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AU - Okeke, Godwin Amechi

AU - Francis, Daniel

AU - de la Sen, Manuel

AU - Abbas, Mujahid

PY - 2021

Y1 - 2021

N2 - We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

AB - We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

KW - Contractive mapping

KW - Existence and uniqueness

KW - Fixed point

KW - Modular G-continuity

KW - Modular G-metric spaces

KW - Operators

KW - Weakly compatible

KW - Δ -type condition

UR - https://www.scopus.com/pages/publications/85116364850

U2 - 10.1186/s13660-021-02695-8

DO - 10.1186/s13660-021-02695-8

M3 - Article

AN - SCOPUS:85116364850

SN - 1025-5834

VL - 2021

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 163

ER -

Fixed point theorems in modular G-metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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