Fixed point and coincidence point theorems in b-metric spaces with applications

Applicable Analysis and Discrete Mathematics

article

Adrian Petrusel¹  Gabriela Petrusel²  Jen-Chih Yao³ 

[1] Faculty of Mathematics and Computer Science, Babe¸s-Bolyai University;Faculty of Business Babe¸s-Bolyai University;Research Center for Interneural Computing, China Medical University Hospital

关键词: well=posedness;    Ulam-Hyers stability;    b-metric space;    coincidence point;    Fixed point;   

DOI  :  10.2298/AADM1701199P

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper, we will consider the coincidence point problem for a pair ofsingle-valued operators satisfying to some contraction and expansion typeconditions. Existence, uniqueness and qualitative properties of the solutionwill be presented. The results are based on some fixed point theorems fornonlinear contractions in complete b-metric spaces. An application illustratesthe theoretical results.

【 授权许可】

Unknown