Fixed Point Theorems for Manageable Contractions with Application to Integral Equations. (16th February 2017)

• Record Type: Journal Article
• Authors: Hussain, N.; Iqbal, I.; Alamri, Badriah A. S.; Kutbi, M. A.
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-02-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/7943896
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper we utilize the concept of manageable functions to define multivalued α ⁎ - η ⁎ manageable contractions and prove fixed point theorems for such contractions. As applications we deduce certain fixed point theorems which generalize and improve Nadler's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and some other well-known results in the literature. Also, we give an illustrating example showing that our results are a proper generalization of Nadler's theorem and provide an application to integral equations.