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Continuous Selections and Fixed Points forφ-maps with Their Applications to Section Problems

Continuous Selections and Fixed Points forφ-maps with Their Applications to Section Problems
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摘要 The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as applications of the above fixed point theorems, some section problems are discussed. The results generalize and improve many corresponding conclusions. The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as applications of the above fixed point theorems, some section problems are discussed. The results generalize and improve many corresponding conclusions.
出处 《Communications in Mathematical Research》 CSCD 2012年第3期225-234,共10页 数学研究通讯(英文版)
基金 The NSF (10361005) of China
关键词 FC-SPACE FC-subset Ф-map continuous selection fixed point section problem FC-space, FC-subset, Ф-map, continuous selection, fixed point, section problem
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