A New Contraction with an Application for Integral Equations

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SANGURLU SEZEN M.

Fractal and Fractional, vol.7, no.1, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.3390/fractalfract7010058
  • Journal Name: Fractal and Fractional
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Keywords: delta-contraction, fractional integral equation, fixed point
  • Gazi University Affiliated: Yes

Abstract

© 2023 by the author.In this study, we introduce a new definition called (Formula presented.) -contraction. However, we prove some theorems for mappings satisfying the (Formula presented.) -contraction and touch upon fixed points. In the obtained theorems, we also show the existence and uniqueness of fixed points. In order to prove the validity of the results of our main theorems, we give a few examples as well as an application that reveals the solution of some integral equations.