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, cilt.5, sa.6, ss.6929-6948, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020444
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6929-6948
  • Anahtar Kelimeler: Convex b-metric space, Convex structure, F-Reich contraction, Fredholm integral equation, Mann’s iteration
  • Uşak Üniversitesi Adresli: Evet

Özet

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.