Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility
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Author list: Phiangsungnoen S., Kumam P.
Publisher: SpringerOpen
Publication year: 2014
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2014
Issue number: 1
Start page: 1
End page: 12
Number of pages: 12
ISSN: 1025-5834
eISSN: 1029-242X
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space. We also prove the generalized Ulam-Hyers stability and well-posed results for a fixed point equation employing the concept of α-admissibility in b-metric spaces. We shall construct some examples to support our novel results. MSC:46S40, 47S40, 47H10. © 2014, Phiangsungnoen and Kumam; licensee Springer.
Keywords
α-admissible mappings
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