Viscosity approximation method for solving variational inequality problem in real Banach spaces

Godwin Ugwunnadi

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.

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In this paper, we study the implicit and inertial-type viscosity approximation method for approximating a solution to the hierarchical variational inequality problem. Under some mild conditions on the parameters, we prove that the sequence generated by the proposed methods converges strongly to a solution of the above-mentioned problem in qq-uniformly smooth Banach spaces. The results obtained in this paper generalize and improve many recent results in this direction.

Author(s)

Table of Contents

Viscosity approximation method for solving variational inequality problem in real Banach spaces

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

Viscosity approximation method for solving variational inequality problem in real Banach spaces

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter