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Published:2014-01-06 Issue:1 Volume:2014 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Ali Muhammad Usman,Kamran Tayyab,Karapınar Erdal

Abstract

Abstract In this paper, we introduce the notion of ( α , ψ , ξ ) -contractive multivalued mappings to generalize and extend the notion of α-ψ-contractive mappings to closed valued multifunctions. We investigate the existence of fixed points for such mappings. We also construct an example to show that our result is more general than the results of α-ψ-contractive closed valued multifunctions. MSC:47H10, 54H25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2014-7.pdf

Reference11 articles.

1. Samet B, Vetro C, Vetro P: Fixed point theorems for α - ψ -contractive type mappings. Nonlinear Anal. 2012, 75: 2154–2165. 10.1016/j.na.2011.10.014

2. Karapinar E, Samet B: Generalized α - ψ -contractive type mappings and related fixed point theorems with applications. Abstr. Appl. Anal. 2012., 2012: Article ID 793486

3. Asl JH, Rezapour S, Shahzad N: On fixed points of α - ψ -contractive multifunctions. Fixed Point Theory Appl. 2012., 2012: Article ID 212 10.1186/1687-1812-2012-212

4. Mohammadi B, Rezapour S, Shahzad N: Some results on fixed points of α - ψ -Ciric generalized multifunctions. Fixed Point Theory Appl. 2013., 2013: Article ID 24 10.1186/1687-1812-2013-24

5. Amiri P, Rezapour S, Shahzad N: Fixed points of generalized α - ψ -contractions. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 2013. 10.1007/s13398-013-0123-9

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