期刊文献+

Brouwer-Schauder-Tychonoff不动点定理的进一步推广

A Further Generalization of Brouwer-Schauder-Tychonoff Fixed Point Theorem
原文传递
导出
摘要 最近,Wu和Yuan将Brouwer-Schauder-Tychonoff不动点定理推广到H-空间.本文首先建立一个逼近选择定理,然后使用这个结果建立一个新的不动点定理,很大地改进和推广了Wu和Yuan的结果. Recently, Wu and Yuan in [1] extended Brouwer-Schauder-Tychonoff fixed point theorem to H- Spaces. The purpose of this paper is to establish a new fixed point theorem which improves on and generalizes Wu and Yuan's result in [1], by using a new approximation selection theorem for upper semicontinuous multivalued mappings.
作者 侯吉成
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2002年第5期987-990,共4页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10171043)
关键词 上半连续 不动点 逼近选择 H-空间 Upper semicontinuous Fixed point Approximate selection H-space
  • 相关文献

参考文献8

  • 1Wu X., Yuan X., Approximate selections, fixed points, almost fixed points of multivalued mappings andgeneralized quasi-variational inequalities in H-spaces, Nonlinear Analysis TMA, 1999, 38: 249-258. 被引量:1
  • 2Horvath C. D., Contractibility and generalized convexity, J. Math. Anal. Appl., 1991, 156: 341-357. 被引量:1
  • 3Hadzic O., Almost fixed point and best approximations theorems in H-space, Bull. Austr. Math. Soc., 1996, 55: 447-454. 被引量:1
  • 4De Blasi F. S., Myjak J., On continuous approximation for multifunctions, Pacific J. Math., 1986, 123: 9-31. 被引量:1
  • 5Aubin J.-P., Optima and Equilibria, Berlin, Heidelberg: Springer-Verlag, 1993. 被引量:1
  • 6Engelking R., General Topology, Berlin: Springer-Verlag, 1989. 被引量:1
  • 7Hadzic O., Some fixed point and almost fixed point theorems for multivalued mappings in topological vector spaces, Nonlinear Anal. TMA, 1981, 5: 1009-1019. 被引量:1
  • 8Tychonoff A., Ein Fixpunktsatz, Math. Ann., 1935, 111: 767-776. 被引量: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