# APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

• Published : 2014.05.31
• 30 3

#### Abstract

We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.

#### Keywords

monotone mappings;relatively nonexpansive mappings;strong convergence;variational inequality problems

#### References

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#### Cited by

1. An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces vol.4, pp.3, 2015, https://doi.org/10.1007/s40065-015-0130-0