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：本文主要研究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，我们将研究在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:Thispapermainlystudiesthefixedpointpropertyofasymptoticallynon-expansivemappingsonW-hyperbolicspaces.Firstly,weintroducethebasicconceptsofW-hyperbolicspacesandreviewthebasictheoryoffixedpointtheorems.Secondly,wegivethedefinitionofasymptoticallynon-expansivemappingsandtheirproperties.Next,wewillstudythefixedpointpropertyofasymptoticallynon-expansivemappingsinW-hyperbolicspaces,includingexistence,uniquenessandstability.Finally,weillustratetheapplicationofourresultsthroughexamples.Keywords:W-hyperbolicspace;asymptoticallynon-expansivemapping;fixedpointtheorem;existence;uniqueness;stability.