3D analysis of modified <em>F</em>-contractions in convex b-metric spaces with application to Fredholm integral equations

3D analysis of modified <em>F</em>-contractions in convex b-metric spaces with application to Fredholm integral equations

The article defines <em>F</em>-Reich contraction while eliminating the condition (F3) and (F4) of <em>F</em>-contraction of Nadler type defined by Cosentino and using generalized Mann’s iteration algorithm, some interesting theorems are developed in the setting of convex b-me...

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Bibliographic Details
Main Authors: Awais Asif, Sami Ullah Khan, Thabet Abdeljawad, Muhammad Arshad, Ekrem Savas
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
convex structure
convex b-metric space
mann’s iteration
fredholm integral equation
<i>f</i>-reich contraction
Online Access:https://www.aimspress.com/article/10.3934/math.2020444/fulltext.html
Description
Summary:The article defines <em>F</em>-Reich contraction while eliminating the condition (F3) and (F4) of <em>F</em>-contraction of Nadler type defined by Cosentino and using generalized Mann’s iteration algorithm, some interesting theorems are developed in the setting of convex b-metric spaces. Example are stated in support of our proved results and application of our results in finding solution point to Fredholm Integral equation of the second kind are given.
ISSN:2473-6988

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