Article ID Journal Published Year Pages File Type
4639726 Journal of Computational and Applied Mathematics 2011 12 Pages PDF
Abstract

In this paper, we study the following minimization problem minx∈Fix(S)∩Ωμ2〈Bx,x〉+12‖x‖2−h(x), where BB is a bounded linear operator, μ≥0μ≥0 is some constant, hh is a potential function for γ̄f, Fix(T)Fix(T) is the set of fixed points of nonexpansive mapping SS and ΩΩ is the solution set of an equilibrium problem. This paper introduces two new algorithms (one implicit and one explicit) that can be used to find the solution of the above minimization problem.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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