Fixed Point Theorems for a Demicontractive Mapping and Equilibrium Problems in Hilbert Spaces

Authors

  • Wongvisarut Khuangsatung Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Pathumtani 12110
  • Sarawut Suwannaut Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 50100

DOI:

https://doi.org/10.26713/cma.v11i2.1237

Keywords:

The combination of equilibrium problem, Fixed point, Demicontractive mapping

Abstract

In this research, we introduce some properties of demicontractive mapping and the combination of equilibrium problem. Then, we prove a strong convergence for the iterative sequence converging to a common element of fixed point set of demicontractive mapping and a common solution of equilibrium problems. Finally, we give a numerical example for the main theorem to support our results.

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References

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Published

30-06-2020
CITATION

How to Cite

Khuangsatung, W., & Suwannaut, S. (2020). Fixed Point Theorems for a Demicontractive Mapping and Equilibrium Problems in Hilbert Spaces. Communications in Mathematics and Applications, 11(2), 181–198. https://doi.org/10.26713/cma.v11i2.1237

Issue

Vol. 11 No. 2 (2020)

Section

Research Article

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