精品文档---下载后可任意编辑W 双曲空间中渐近非扩张映射的不动点性质的开题报告摘要：本文主要讨论 W 双曲空间中渐近非扩张映射的不动点性质。首先，我们介绍了 W 双曲空间及其基本概念，并回顾了不动点定理的基本理论。其次，我们给出了渐近非扩张映射及其性质的定义。接下来，我们将讨论在 W 双曲空间中渐近非扩张映射的不动点性质，包括存在性、唯一性和稳定性。最后，我们将通过实例说明本文的结果的应用。关键词：W 双曲空间；渐近非扩张映射；不动点定理；存在性；唯一性；稳定性。Abstract: This paper mainly studies the fixed point property of asymptotically non-expansive mappings on W-hyperbolic spaces. Firstly, we introduce the basic concepts of W-hyperbolic spaces and review the basic theory of fixed point theorems. Secondly, we give the definition of asymptotically non-expansive mappings and their properties. Next, we will study the fixed point property of asymptotically non-expansive mappings in W-hyperbolic spaces, including existence, uniqueness and stability. Finally, we illustrate the application of our results through examples.Keywords: W-hyperbolic space; asymptotically non-expansive mapping; fixed point theorem; existence; uniqueness; stability.
