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

作者：Chen, Jianhua; Tang, Xianhua^*

来源：Journal of Computational and Applied Mathematics, 2016, 296: 564-575.

DOI：10.1016/j.cam.2015.10.012

• Measure of non-compactness
• Simulation functions
• Fixed point
• Functional integral equations

In this paper, firstly, we introduce Z(mu)-contraction and J(mu)-contraction via stimulation functions. Secondly, we prove some new fixed point theorems for 4-contractive mappings and J(mu)-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.

• 出版日期2016-4
• 单位中南大学