Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems

作者：Shehu Yekini^*

来源：Journal of Global Optimization, 2011, 51(1): 69-78.

DOI：10.1007/s10898-010-9619-4

• Relatively quasi nonexpansive mappings
• Equilibrium problems
• Hybrid method
• Banach spaces

In this paper, a new iterative scheme by hybrid method is constructed. Strong convergence of the scheme to a common element of the set of common fixed points of a finite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. Our results extend important recent results.

• 出版日期2011-9