The common solutions of complementarity problems and a zero point of maximal monotone operators by using the hybrid projection method

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Publication Details

Author list: Promluang K., Phuangphoo P., Kumam P.

Publication year: 2016

Journal: International Journal of Mathematics and Computers in Simulation (1998-0159)

Volume number: 10

Start page: 152

End page: 160

Number of pages: 9

ISSN: 1998-0159

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84964066867&partnerID=40&md5=969e584d86777bd4a6cb0a86f806b31a

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we propose a projection method for solving nonlinear complementarity problems and a zero point of maximal monotone operators. Strong convergence theorems are established for solving the common solutions of complementarity problems and a zero point of maximal monotone operators together with a system of generalized equilibrium, variational inequality and fixed point problems in a uniformly smooth and 2-uniformly convex real Banach space. Moreover, we also apply the result to Hilbert spaces. ฉ 2016, North Atlantic University Union. All rights reserved.

Keywords

A zero point, Complementarity problems, Inversestrongly monotone mapping