Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

Godwin Amechi Okeke; Safeer Hussain Khan

doi:10.1016/j.ajmsc.2019.02.001

Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

Godwin Amechi Okeke
, Safeer Hussain Khan

Mathematics and Statistics

School of Physical Sciences Federal University of Technology Owerri
Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University

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

13 Scopus citations

Abstract

The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued (Formula presented.) -quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of (Formula presented.) -stability, almost (Formula presented.) -stability and summably almost (Formula presented.) -stability to modular function spaces and give some results.

Original language	English
Pages (from-to)	75-93
Number of pages	19
Journal	Arab Journal of Mathematical Sciences
Volume	26
Issue number	1-2
DOIs	https://doi.org/10.1016/j.ajmsc.2019.02.001
State	Published - Feb 8 2019

Keywords

-quasi-contractive mappings
Approximation of fixed point
Modular function spaces
Multivalued mappings
Multivalued ρ
S-iterative process
ρ-T-stable, ρ-almost T-stable, ρ-summably almost T-stable

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10.1016/j.ajmsc.2019.02.001

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title = "Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces",

abstract = "The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued (Formula presented.) -quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of (Formula presented.) -stability, almost (Formula presented.) -stability and summably almost (Formula presented.) -stability to modular function spaces and give some results.",

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Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

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