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

Journal of inequalities and applications

Supak Phiangsungnoen¹ 

关键词: α-admissible mappings;    b-metric space;    fixed point;    generalized Ulam-Hyers stability;    well-posedness;   

DOI  :  10.1186/1029-242X-2014-418

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY