Glasnik matematički, Vol. 46 No. 1, 2011.
Conference paper
https://doi.org/10.3336/gm.46.1.17
Approximating common solutions of variational inequalities by iterative algorithms with applications
Xiaolong Qin
; School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
Sun Young Cho
; Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Yeol Je Cho
; Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
Abstract
In this paper, we introduce an iterative scheme for a general variational inequality. Strong convergence theorems of common solutions of two variational inequalities are established in a uniformly convex and 2-uniformly smooth Banach space. As applications, we, still in Banach spaces, consider the convex feasibility problem.
Keywords
Iterative algorithm; variational inequality; inverse-strongly accretive mapping; sunny nonexpansive retraction
Hrčak ID:
68903
URI
Publication date:
13.6.2011.
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