Strong convergence theorems for variational inequalities and fixed point problems in Banach spaces

Description

In this paper, using a sunny generalized non-expansive retraction which is different from the metric projection and generalized metric projection in Banach spaces, we present a retractive iterative algorithm of Krasnosel’skii-type, whose sequence approximates a common solution of a mono-variational inequality of a finite family of η-strongly-pseudo-monotone-type maps and fixed points of a countable family of  generalized non-expansive-type maps. Furthermore, some new results relevant to the study are also presented. Finally, the theorem proved complements, improves and extends some important related recent results in the literature.

Additional information

Author(s)

 Ezeora, J. N., Nnakwe, M. O.

DOI

https://doi.org/10.37193/CJM.2021.03.10