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1. Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility.

Author

Phiangsungnoen, Supak and Kumam, Poom

Subjects
*MATHEMATICAL mappings, *METRIC spaces, *FIXED point theory, *BANACH spaces, *MATHEMATICAL analysis, *FUNCTIONAL equations
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. [ABSTRACT FROM AUTHOR]

Published
2014
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