Generalizations of Darbo’s fixed point theorem via simulation functions with application to functional integral equations

Autor:	X.H. Tang, Jianhua Chen
Rok vydání:	2016
Předmět:	010101 applied mathematics Computational Mathematics Applied Mathematics 010102 general mathematics Mathematical analysis Fixed-point theorem 0101 mathematics Fixed point 01 natural sciences Integral equation Contraction (operator theory) Mathematics Measure of non-compactness
Zdroj:	Journal of Computational and Applied Mathematics. 296:564-575
ISSN:	0377-0427
DOI:	10.1016/j.cam.2015.10.012
Popis:	In this paper, firstly, we introduce Z µ -contraction and ? µ -contraction via stimulation functions. Secondly, we prove some new fixed point theorems for Z µ -contractive mappings and ? µ -contractive mappings. Our results generalize and extend some existing results. Moreover, some examples and an application to functional integral equations are given to support the obtained results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5622698f91a54c294c190c52fb054086 https://doi.org/10.1016/j.cam.2015.10.012 Zobrazit plný text záznamu Full Text from ScienceDirect