Iterative construction for common fixed points of finitely many nonexpansive mappings

作者：Zhang Qingnian^*; Song Yisheng

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(5-6): 1850-1856.

DOI：10.1016/j.na.2009.01.020

• Finite family of nonexpansive mappings
• Uniformly Gaeaux differentiable norm
• Reflexive Banach space

Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a family of nonexpansive mappings in a Banach space. In this paper, under the hypotheses that E is a reflexive and strictly convex Banach spaces with a uniformly Gaeaux differentiable norm, the strong convergence of a iteration algorithm is proved for finding a common fixed point of a finite family of nonexpansive self-mappings defined on a closed convex subset K of E.

• 出版日期2009-9-1
• 单位河南师范大学