2020Thai Journal of MathematicsOpen access

The General Intermixed Iteration for Equilibrium Problems and Variational Inequality Problems in Hilbert Spaces

Sarawut Suwannaut

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Abstract

In this paper, the general intermixed iteration for two nonlinear mappings is introduced. A strong convergence theorem for approximating a common solution of two finite families of equilibrium problems and variational inequality problems in a Hilbert space is proved. Furthermore, a numerical example for main theorem is given to support the result.

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In this paper, the general intermixed iteration for two nonlinear mappings is introduced. A strong convergence theorem for approximating a common solution of two finite families of equilibrium problems and variational inequality problems in a Hilbert space is proved. Furthermore, a numerical example for main theorem is given to support the result.

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Available abstract

In this paper, the general intermixed iteration for two nonlinear mappings is introduced. A strong convergence theorem for approximating a common solution of two finite families of equilibrium problems and variational inequality problems in a Hilbert space is proved. Furthermore, a numerical example for main theorem is given to support the result.

Key concepts: Mathematics, Variational inequality, Hilbert space, Convergence (economics), Nonlinear system, Applied mathematics, Inequality, Mathematical analysis

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