Abstract
AbstractAn iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and an inverse strongly monotone mapping. Strong convergence theorems of common elements are established in real Hilbert spaces.
Highlights
Introduction and PreliminariesThroughout this paper, we always assume that H is a real Hilbert space with the inner product ·, · and the norm · .Let C be a nonempty closed convex subset of H and S : C → C a nonlinear mapping
An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and an inverse strongly monotone mapping
Strong convergence theorems of common elements are established in real Hilbert spaces
Summary
An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and an inverse strongly monotone mapping. Strong convergence theorems of common elements are established in real Hilbert spaces
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