Fixed Point Theorems for a Class of alpha-Admissible Contractions and Applications to Boundary Value Problem
ABSTRACT AND APPLIED ANALYSIS, 2014 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2014
- Doi Numarası: 10.1155/2014/187031
- Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.