A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

作者：Tang Jinfang; Chang Shih sen^*; Yuan Fei

来源：Fixed Point Theory and Applications, 2014, 2014(1): 36.

DOI：10.1186/1687-1812-2014-36

• equilibrium problems
• split feasibility problems
• strong convergence
• bounded linear operator
• fixed point

The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges strongly to a common element of the set of solutions of equilibrium problems and the set of solutions of split feasibility problems. Our result extends and improves the corresponding results of some others.

• 出版日期2014-2-13
• 单位宜宾学院; 云南财经大学