Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations

By Yonghong Yao, Yeong-Cheng Liou, Jen-Chih Yao. 2017

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In the present paper, we consider the split variational inequality and fixed point problem that requires to find a solution of a generalized variational inequality in a nonempty closed convex subset C of a real Hilbert space H whose image under a nonlinear transformation is a fixed point of a pseudocontractive operator. An iterative algorithm is introduced to solve this split problem and the strong convergence analysis is given. c ©2017 All rights reserved.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/41ad8e90e41d28c0a8c6c8bfd7c576a7b78162b7