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Approximating common solutions of variational inequalities by iterative algorithms with applications

2011
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Glasnik Matematicki - Serija III
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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. 2010 Mathematics Subject Classification. 47H05, 47H09, 47J25. Recall that the classical variational inequality, denoted by V I(C, A), is to find u ∈ C such that It is well

doi:10.3336/gm.46.1.17
fatcat:u4rh3bg5czdezptberyymcc6y4