Abstract
In this paper, using a new shrinking projection method, we deal with the strong convergence for finding a common point of the sets of zero points of a maximal monotone mapping, common fixed points of a finite family of demimetric mappings and common zero points of a finite family of inverse strongly monotone mappings in a Hilbert space. Using this result, we get well-known and new strong convergence theorems in a Hilbert space.
Highlights
A Strong Convergence Theorem under a NewShrinking Projection Method for Finite Families of Nonlinear Mappings in a Hilbert Space
Let H be a real Hilbert space and let C be a nonempty, closed and convex subset of H
In this paper, using a new shrinking projection method, we prove a strong convergence theorem for finding a common point of the sets of zero points of a maximal monotone mapping, common fixed points for a finite family of demimetric mappings and common zero points of a finite family of inverse strongly monotone mappings in a Hilbert space
Summary
Shrinking Projection Method for Finite Families of Nonlinear Mappings in a Hilbert Space.
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