Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping

作者：Ke, Yifen; Ma, Changfeng^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 54.

DOI：10.1186/1687-1812-2014-54

• iterative algorithm
• constrained convex minimization
• quasi-variational inclusion
• strictly pseudo-contractive
• fixed point
• convergence analysis

In this paper, a new iterative algorithm is proposed for finding a common solution to a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping in a real Hilbert space. It is proved that the sequence generated by the proposed algorithm converges strongly to a common solution of the three above described problems. By applying this result to some special cases, several interesting results can be obtained.

• 出版日期2014-3-4
• 单位福建师范大学