Fixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces

Getahun B. Wega; Habtu Zegeye; Oganeditse A. Boikanyo

doi:10.2298/FIL2005659W

Fixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces

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Abstract

The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.

Original language	English
Pages (from-to)	1659-1676
Number of pages	18
Journal	Filomat
Volume	34
Issue number	5
DOIs	https://doi.org/10.2298/FIL2005659W
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2298/FIL2005659W

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title = "Fixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces",

abstract = "The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and {\"O}zt{\"u}rk et. al [26]. To validate our results numerical examples are provided.",

author = "Wega, \{Getahun B.\} and Habtu Zegeye and Boikanyo, \{Oganeditse A.\}",

note = "Funding Information: Funding: The first author is gratefully acknowledge the funding received from Simons Foundation based at Botswana International University of Science and Technology (BIUST). Publisher Copyright: {\textcopyright} 2020, University of Nis. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

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language = "English",

volume = "34",

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T1 - Fixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces

AU - Wega, Getahun B.

AU - Zegeye, Habtu

AU - Boikanyo, Oganeditse A.

N1 - Funding Information: Funding: The first author is gratefully acknowledge the funding received from Simons Foundation based at Botswana International University of Science and Technology (BIUST). Publisher Copyright: © 2020, University of Nis. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.

AB - The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.

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IS - 5

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Fixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces

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