A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-phi-nonexpansive mappings in the intermediate sense

作者：Qing, Yuan; Lv, Songtao^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 305.

DOI：10.1186/1687-1812-2013-305

• asymptotically quasi-phi-nonexpansive mapping
• asymptotically quasi-phi-nonexpansive mapping in the intermediate sense
• generalized projection
• equilibrium problem
• fixed point

In this paper, common solutions to an equilibrium problem and a nonlinear operator equation involving a finite family of asymptotically quasi-phi-nonexpansive mappings in the intermediate sense are discussed. Strong convergence theorems of common solutions are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

• 出版日期2013-11-21
• 单位商丘师范学院; 杭州师范大学