期刊文献+

UCW-hyperbolic空间中一类映射的不动点性质 被引量:1

Study on fixed point properties for a kind of mappings in UCW-hyperbolic spaces
下载PDF
导出
摘要 应用UCW-hyperbolic空间中一致凸模的定义及其单调性给出了渐近平均非扩张映射不动点的存在性定理,进一步证明了其半闭原理,推广了渐近平均非扩张映射的一些已有结论. In this paper , the existence of fixed points and the demi-closed principle for as-ymptotically mean nonexpansive mappings in UCW -hyperbolic spaces were proved by app-ling the definition and monotonicity of consistent convex mold , which extended some existed conclusions for asymptotically nonexpansive mappings .
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2014年第4期482-485,共4页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 省教育厅科研面上项目(12531099) 国家自然基金天元基金项目(11226127)
关键词 UCW-hyperbolic空间 渐近平均非扩张映射 不动点 UCW -hyperbolic space asymptotically mean nonexpansive mappings fixed point
  • 相关文献

参考文献6

  • 1BROWDER F E. Semicontractive and semiaccretive nonlinear mappings in Banach spaces [ J ]. Bulletin of the American Mathematical Society, 1968, 74 : 660 - 665.
  • 2KOHLENBACH U. Some logical metaheorems with applications in functional analysis [ J ]. Transactions of the American Mathe- matical Society, 2005, 357(1) : 89 - 128.
  • 3KIRK W A. Krasnoselskii' s iteration process in hyperbolic Space [ J]. Numerical Function Analysis and Optimization, 1982, 4(4) : 371 -381.
  • 4REICH S, SHAFRIR I. Nonexpansive Iterations in Hyperbolic Spaces [ J ], Nonlinear Analysis: Theory, Methods & Applica- tions,1990, 15(6) : 537 -558.
  • 5TAKAHASHI W. A Convexity in Metric Space and Nonexpansive Mappings [J]. Kodai Mathematical Seminar Reports, 1970, 22 (2) : 129 -250.
  • 6LEUSTEAN L. A Quadratic Rate of Asymptotic Regularity for CAT (0) Spaces [ J]. Journal of Mathematical Analysis and Ap- plications, 2007, 325 ( 1 ) : 386 - 399.

同被引文献3

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部