Existence of Fixed Points for a Class of Decreasing Operators with Parameter and Applications

Xingchang Li, Shiqin Tian and Ji Gao

Journal of Mathematics, 2022, vol. 2022, 1-5

Abstract: This paper studies the existence of fixed points for a class of decreasing operators with parameter in real Banach spaces. The existence theorems of fixed point are obtained as when the parameter is increasing, there will still be a large fixed point. These results have reduced the requirements of convexity, compactness, and lattice structure of spaces. By this new method, the existence of solutions for a class of second-order differential equations with parameter in infinite intervals is studied.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4861344

DOI: 10.1155/2022/4861344

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