Fixed points for generalized "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractions on generalized metric spaces-Reference-Cited by-同舟云学术

Fixed points for generalized "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractions on generalized metric spaces

Published:2014-06-04 Issue:1 Volume:2014 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Aydi Hassen,Karapınar Erdal,Samet Bessem

Abstract

Abstract In this paper, we introduce some generalized ( α , ψ ) -contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory Appl. 2013:129, 2013), we omit the Hausdorff hypothesis to prove some fixed point results involving such mappings. Some consequences on existing fixed point theorems are also derived. MSC:46T99, 47H10, 54H25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2014-229.pdf

Reference26 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. Ali MU, Kamran T:On "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractive multi-valued mappings. Fixed Point Theory Appl. 2013. Article ID 137, 2013: Article ID 137

3. Jleli M, Karapınar E, Samet B: Best proximity points for generalized α - ψ -proximal contractive type mappings. J. Appl. Math. 2013. Article ID 534127, 2013: Article ID 534127

4. Jleli M, Karapınar E, Samet B: Fixed point results for α - "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" contractions on gauge spaces and applications. Abstr. Appl. Anal. 2013. Article ID 730825, 2013: Article ID 730825

5. Karapınar E:Discussion on "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" contractions on generalized metric spaces. Abstr. Appl. Anal. 2014. Article ID 962784, 2014: Article ID 962784

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