COINCIDENCE PROBLEMS FOR GENERALIZED CONTRACTIONS

Applicable Analysis and Discrete Mathematics

article

Jesús Garcia Falset¹  Oana Maria Mleşniţe² 

[1] Departamento de An´alisis Matem´atico de la Universitat de Val`encia Edificio de Investigaci´on;Department of Mathematics, Babe¸s-Bolyai University Cluj-Napoca Kog˘alniceanu Street No. 1

关键词: Coincidence problem;    φ-contraction mapping;    separate contraction;    fixed point;    generalized Ulam-Hyers stability;   

DOI  :  10.2298/AADM131031021F

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 establish some new existence, uniqueness and Ulam-Hyersstability theorems for coincidence problems for two single-valued mappings.The main results of this paper extend the results presented in O. Mles¸nit¸e:Existence and Ulam-Hyers stability results for coincidence problems, J. Nonlinear Sci. Appl., 6 (2013), 108–116. In the last section two examples ofapplication of these results are also given.

【 授权许可】

Unknown