Generalized α-ψ-contractive type mappings of integral type and related fixed point theorems
Journal of Inequalities and Applications, vol.2014, no.1, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2014 Issue: 1
- Publication Date: 2014
- Doi Number: 10.1186/1029-242x-2014-160
- Journal Name: Journal of Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Complete metric space, Contractive mapping, Fixed point, Partial order
- Open Archive Collection: AVESIS Open Access Collection
- Uşak University Affiliated: No
Abstract
The aim of this paper is to introduce two classes of generalized α-ψ-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature. © 2014 Karapinar et al.; licensee Springer.