Weak and strong convergence theorems for countable Lipschitzian mappings and its applications

作者：Nisrakoo Weerayuth; Saejung Satit^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(8): 2695-2708.

DOI：10.1016/j.na.2007.08.044

• fixed point theorem
• Lipschitzian mapping
• nonexpansive mapping
• equilibrium problem
• variational inequality

We use Mann's iteration and the hybrid method in mathematical programming to obtain weak and strong convergence to common fixed points of a countable family of Lipschitzian mappings. Finally, we apply our results to solve the equilibrium problems and variational inequalities for continuous monotone mappings.

• 出版日期2008-10-15