Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems

Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium... In this paper, we introduce a general iterative scheme based on the viscosity approximation method for finding a common element of the set of solutions of the equilibrium problem and the set of all fixed points of a demicontractive mapping and a generalized nonexpansive multivalued mapping. Then, we prove the strong convergence of the iterative scheme to find a unique solution of the variational inequality which is the optimality condition for the minimization problem. The main results presented in this paper extend various results existing in the current literature. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational and Applied Mathematics Springer Journals

Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems

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Publisher
Springer International Publishing
Copyright
Copyright © 2015 by SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
Subject
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
ISSN
0101-8205
eISSN
1807-0302
D.O.I.
10.1007/s40314-015-0292-6
Publisher site
See Article on Publisher Site

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