Convergence of iterative schemes for solving fixed point problems for multi-valued nonself mappings and equilibrium problems

Volume 8, Issue 6, pp 1245--1256 http://dx.doi.org/10.22436/jnsa.008.06.31

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Authors

Watcharaporn Cholamjiak - School of Science, University of Phayao, Phayao 56000, Thailand. Prasit Cholamjiak - School of Science, University of Phayao, Phayao 56000, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand. Suthep Suantai - Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand.

Abstract

In this paper, we use the viscosity approximation method to establish strong convergence theorems for a finite family of nonexpansive multi-valued nonself mappings and equilibrium problems in a Hilbert space under some suitable conditions. As applications, we provide an example and numerical results.

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Keywords

• Nonexpansive multi-valued mapping
• viscosity approximation method
• equilibrium problem
• fixed point
• strong convergence.

MSC

•  47H10
•  54H25

References

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