A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem

By Filomena Cianciaruso, Giuseppe Marino, Luigi Muglia, Yonghong Yao. 2009

93 citations recorded by the source corpus.

We propose a modified hybrid projection algorithm to approximate a common fixed point of a -strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b6db4767214ea51a53eb9fa0741ae40097d4f9b7

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In Computational Theory and Mathematics

1. S. H. Rizvi
2. Kaleem Raza Kazmi
3. Dang Van Hieu

In Geometry and Topology

1. S. H. Rizvi
2. Kaleem Raza Kazmi
3. Dang Van Hieu

In Numerical Analysis

1. S. H. Rizvi
2. Kaleem Raza Kazmi
3. Dang Van Hieu

Citations in the corpus

• Iterative approximation of a common solution of a split generalized equilibrium problem and a fixed point problem for nonexpansive semigroup (2013, background): “[13].”