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Fixed Point Theorems for Manageable Contractions with Application to Integral Equations
Joint Authors
Hussain, Nawab
Alamri, Badriah A. S.
Iqbal, I.
Kutbi, Marwan Amin
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hussain, Nawab& Iqbal, I.& Alamri, Badriah A. S.& Kutbi, Marwan Amin. 2017. Fixed Point Theorems for Manageable Contractions with Application to Integral Equations. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1176606
Modern Language Association (MLA)
Hussain, Nawab…[et al.]. Fixed Point Theorems for Manageable Contractions with Application to Integral Equations. Journal of Function Spaces No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1176606
American Medical Association (AMA)
Hussain, Nawab& Iqbal, I.& Alamri, Badriah A. S.& Kutbi, Marwan Amin. Fixed Point Theorems for Manageable Contractions with Application to Integral Equations. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1176606
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176606