Some results of variational inclusion problems and fixed point problems with applications

HAO Yan

doi:10.1007/s10483-009-1210-x

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 12: 1589

DOI: https://doi.org/10.1007/s10483-009-1210-x

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Some results of variational inclusion problems and fixed point problems with applications

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1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, Zhejiang Province, P. R. China;
2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, P. R. China

Received date: 2009-05-31

Revised date: 2009-10-15

Online published: 2009-12-01

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Abstract

This paper introduces a general iterative algorithm to approximate a common element in the solution set of quasi-variational inclusion problems and the common fixed point set of an infinite family of nonexpansive mappings. It is proven that the iterative sequences generated in the proposed iterative algorithm converge strongly to some common element in the framework of the real Hilbert spaces.

Key words： variational inequality; fixed point; nonexpansive mapping; quasi-variational inclusion

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HAO Yan . Some results of variational inclusion problems and fixed point problems with applications[J]. Applied Mathematics and Mechanics, 2009 , 30(12) : 1589 . DOI: 10.1007/s10483-009-1210-x

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