A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space

作者：Saewan Siwa****^*; Kumam Poom

来源：Journal of Inequalities and Applications, 2013, 2013(1): 23.

DOI：10.1186/1029-242X-2013-23

• maximal monotone mappings
• strong convergence
• total quasi-phi-asymptotically nonexpansive mappings
• hybrid scheme
• equilibrium problem
• variational inequality problems

In this article, a new iterative process is introduced to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality problems, and the set of zeros of maximal monotone operators in a uniformly smooth and strictly convex Banach space by using a hybrid projection method. Also, we prove new strong convergence theorems for this proposed iterative precess in a Banach space.

• 出版日期2013