A New Contraction with an Application for Integral Equations

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SANGURLU SEZEN M.

Fractal and Fractional, cilt.7, sa.1, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/fractalfract7010058
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: delta-contraction, fractional integral equation, fixed point
  • Gazi Üniversitesi Adresli: Evet

Özet

© 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.