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

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  • Xingchang Li
  • Shiqin Tian

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.

Suggested Citation

  • Xingchang Li & Shiqin Tian, 2022. "Existence of Fixed Points for a Class of Decreasing Operators with Parameter and Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4861344
    DOI: 10.1155/2022/4861344
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