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Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications
Joint Authors
Altun, Ishak
Mınak, Gülhan
Durmaz, Gonca
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In the recent paper (B.
Samet, C.
Vetro, and P.
Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis.
Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces.
Using this new concept, they presented some nice fixed point results.
Also, they gave an existence theorem for integral equation to show the usability of their result.
Then, many authors focused on this new concept and obtained a lot of fixed point results, which are used for existence theorems.
In this paper, we not only extend some of the recent results about this direction but also generalize them.
Then, we give some examples to show our results are proper extensions.
Furthermore, we use our results to obtain the existence and uniqueness result for a solution of fourth order two-point boundary value problem.
American Psychological Association (APA)
Durmaz, Gonca& Mınak, Gülhan& Altun, Ishak. 2014. Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014967
Modern Language Association (MLA)
Durmaz, Gonca…[et al.]. Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014967
American Medical Association (AMA)
Durmaz, Gonca& Mınak, Gülhan& Altun, Ishak. Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014967
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014967