J4 ›› 2008, Vol. 43 ›› Issue (12): 20-23.

• Articles • Previous Articles     Next Articles

Asymptotic bifurcation points of nonlinear operators

 ZOU Yu-Mei, TAO Chang-Li, CUI Yu-Jun   

  1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong， China
  • Received:2008-07-15 Online:2008-12-16 Published:2009-11-09

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Abstract:

The existence and nonexistence of asymptotic bifurcation points of nonlinear operators in Banach space was investigated by use of a positively homogeneous operator under the conditions that the asymptotic Fréchet differentiability is not assumed.

Key words: topological degree; asymptotic bifurcation points; Banach space

CLC Number: 

  • O177.91
[1] YUAN Qing,GAO Jian-jun,WANG Yan-wei . Fixed point theorems for the generalized contractive mappings and mapping pairs in cone metric spaces [J]. J4, 2008, 43(5): 82-86 .
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