Iterative selection methods for the common fixed point problems in a Banach space

作者：Song Yisheng^*

来源：Applied Mathematics and Computation, 2007, 193(1): 7-17.

DOI：10.1016/j.amc.2007.03.028

• non-expansive mappings
• viscosity approximation
• weak contractions

Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a countable family of non-expansive mappings in Banach space. In the paper, under the hypotheses that E is a reflexive Banach space which has a weakly continuous duality mapping J(phi) with gauge function phi, several viscosity approximation methods are investigated for finding a common fixed point of non-expansive mapping sequences.

• 出版日期2007-10-1
• 单位河南师范大学