3d analysis of modified-contractions in convex b-metric spaces with application to fredholm integral equations

Asif A., Khan S. U., Abdeljawad T., Arshad M., SAVAŞ E.

AIMS Mathematics, vol.5, no.6, pp.6929-6948, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3934/math.2020444
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6929-6948
  • Keywords: Convex b-metric space, Convex structure, F-Reich contraction, Fredholm integral equation, Mann’s iteration
  • Uşak University Affiliated: Yes

Abstract

The article defines-Reich contraction while eliminating the condition (F3) and (F4) of-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.