Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend generalize...

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Bibliographic Details
Main Authors: Godwin Amechi Okeke, Daniel Francis
Format: Article
Language:English
Published: Emerald Publishing 2021-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Fixed point
Preordered
Modular G-metric spaces
Contractive mapping
Existence and uniqueness
Nonlinear Volterra-Fredholm integral equations
Online Access:https://www.emerald.com/insight/content/doi/10.1108/AJMS-10-2020-0098/full/pdf

Internet

https://www.emerald.com/insight/content/doi/10.1108/AJMS-10-2020-0098/full/pdf

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