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Convergence theorem for solving a new concept of the split variational inequality problems and application
Author(s)
Sripattanet, Anchalee
Date Issued
October 1, 2020
Type
Article
Abstract
In this paper, we propose the split of modified variational inequality problems (SMVIP), by using the concept of the modified generalized system of variational inequalities (MGSV). Then, we prove the strong convergence theorem for solving fixed point problems of nonlinear mappings and two variational inequality problems and solving the SMVIP. Applying our main result, we prove strong convergence theorems of the split minimization problem and the split variational inequality problem. In support of our main result, a numerical example is also presented.
Citation
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 114(4), 2020