Modification of viscosity method for strictly pseudo-contractive mapping and equilibrium problem with some applications

Katanyoo Thapthas, Atid Kangtunyakarn

Abstract


For the purpose of this article, we are using the concept of equilibrium problem and prove the strong convergence theorem by the viscosity approximation methods for finding a common element of the set of fixed points of κi -strictly pseudo-contractive mappings and of a finite family of the set of solutions of equilibrium problems and variational inequality problems. Furthermore, we apply our main theorem for the numerical examples.

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How to Cite this Article:

Katanyoo Thapthas, Atid Kangtunyakarn, Modification of viscosity method for strictly pseudo-contractive mapping and equilibrium problem with some applications, Advances in Fixed Point Theory, Vol 8, No 2 (2018), 144-173

Copyright © 2018 Katanyoo Thapthas, Atid Kangtunyakarn. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

ISSN: 1927-6303

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