数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 455-462.

• 论文 • 上一篇    下一篇

FIXED POINT INDEX THEORY FOR WEAKLY INWARD MAPPINGS

韩志清   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, China
  • 收稿日期:1995-10-17 修回日期:1996-02-07 出版日期:1997-12-25 发布日期:1997-12-25

FIXED POINT INDEX THEORY FOR WEAKLY INWARD MAPPINGS

Han Zhiqing   

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, China
  • Received:1995-10-17 Revised:1996-02-07 Online:1997-12-25 Published:1997-12-25

摘要: In this paper we define a fixed point index theory for locally Lip., completely continuous and weakdy inward mappings defined on closed convex sets in general Banach spaces where no other artificial conditions are imposed. This makes us to deal with these kinds of mappings more easily. As obvious applications, some results in[3],[5],[7],[9],[10] are deepened and extended.

关键词: Weakly inward mappings, Fixed point index theory, Differential equations in Banach spaces

Abstract: In this paper we define a fixed point index theory for locally Lip., completely continuous and weakdy inward mappings defined on closed convex sets in general Banach spaces where no other artificial conditions are imposed. This makes us to deal with these kinds of mappings more easily. As obvious applications, some results in[3],[5],[7],[9],[10] are deepened and extended.

Key words: Weakly inward mappings, Fixed point index theory, Differential equations in Banach spaces