An iterative algorithm for fixed point problem and convex minimization problem with applications

作者：Cai, Gang; Shehu, Yekini^*

来源：Fixed Point Theory and Applications, 2015, 2015(1): 7.

DOI：10.1186/s13663-014-0253-6

• convex minimization problem
• k-strictly pseudo contractive mapping
• strong convergence
• Hilbert spaces

In this paper we prove the strong convergence of an iterative sequence for finding a common element of the fixed points set of a strictly pseudocontractive mapping and the solution set of the constrained convex minimization problem for a convex and continuously Fr,chet differentiable functional in a real Hilbert space. We apply our result to solving the split feasibility problem and the convexly constrained linear inverse problem involving the fixed point problem for a strictly pseudocontractive mapping in a real Hilbert space.

• 出版日期2015-1-24
• 单位重庆师范大学