当前位置: X-MOL 学术J. Fixed Point Theory Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Multivariate generalized Meir–Keeler condensing operators and their applications to systems of integral equations
Journal of Fixed Point Theory and Applications ( IF 1.8 ) Pub Date : 2020-09-26 , DOI: 10.1007/s11784-020-00820-6
Behnam Matani , Jamal Rezaei Roshan

In this work, we introduce the concepts of multivariate generalized Meir–Keeler condensing operator, and multivariate L-function and prove some new fixed point theorems with the aid of the measure of non-compactness. Our results generalize and extend a lot of comparable results in the literature. Also, we use these results to discuss the solvability for a system of functional integral equations of Volterra type in three variables. Finally, we present an example to support our results.



中文翻译:

多元广义Meir–Keeler凝聚算子及其在积分方程组中的应用

在这项工作中,我们介绍了多元广义Meir–Keeler凝聚算子的概念和多元L函数,并借助非紧致性度量证明了一些新的不动点定理。我们的结果概括并扩展了文献中的许多可比结果。同样,我们使用这些结果来讨论Volterra型泛函积分方程组在三个变量中的可解性。最后,我们提供一个示例来支持我们的结果。

更新日期:2020-09-26
down
wechat
bug