3d analysis of modified-contractions in convex b-metric spaces with application to fredholm integral equations
AIMS Mathematics, cilt.5, sa.6, ss.6929-6948, 2020 (SCI-Expanded, Scopus)
- 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 structure, convex b-metric space, Mann's iteration, Fredholm integral equation, F-Reich contraction
- 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.