The aim of this paper is to introduce the concept of generalized multivalued \(\left( \varUpsilon ,\varLambda \right) \)-contractions and generalized multivalued \(\left( \varUpsilon ,\varLambda \right) \) -Suzuki contractions and introduce some new common fixed point results for such maps in complete b-metric spaces. Our results are an improvement of the Liu et al. fixed point theorem and several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we also discuss an application to existence of solution for system of functional equations.

中文翻译：

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关于完全b度量空间中多值$$（\ varUpsilon，\ varLambda）$$（Υ，Λ）-压缩的新公共不动点及其相关应用

本文的目的是介绍广义多值\（\ left（\ varUpsilon，\ varLambda \ right）\）-收缩的概念和广义多值\（\ left（\ varUpsilon，\ varLambda \ right）\）- Suzuki的概念收缩，并在完整的b度量空间中为此类映射引入一些新的公共不动点结果。我们的结果是对Liu等人的改进。不动点定理和现有文献中的几个可比较结果。我们建立了一个例子来阐明我们的主要结果。此外，我们还讨论了函数方程组解存在性的应用。