Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings

By Yonghong Yao, Yeong-Cheng Liou, Jen-Chih Yao. 2007

155 citations recorded by the source corpus.

We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.

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

View Paper: https://www.semanticscholar.org/paper/f2e6b3f64d4ab567b475eb88951d42d6d8e35bab

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In Computational Theory and Mathematics

1. Yonghong Yao
2. Yeong-Cheng Liou
3. Muhammad Aslam Noor
4. Saira Zainab
5. Khalida Inayat Noor
6. Abdul Rahim Khan
7. Hafiz Fukhar-ud-din
8. A. Domlo

In Geometry and Topology

1. Yeong-Cheng Liou
2. Yonghong Yao
3. Muhammad Aslam Noor
4. Saira Zainab

In Numerical Analysis

1. Yonghong Yao
2. Yeong-Cheng Liou
3. Muhammad Aslam Noor
4. Saira Zainab
5. Khalida Inayat Noor
6. Syed Tauseef Mohyud-Din
7. Abdul Rahim Khan
8. Hafiz Fukhar-ud-din

Citations in the corpus

• Mixed equilibrium problems and optimization problems (2009, background): “[30] Y. Yao, M. Aslam Noor, Y.C. Liou, On iterative methods for equilibrium problems, Nonlinear Anal.”