## Liya Liu, Shrinking projection method for solving zero point and fixed point problems in Banach spaces

Full Text: PDF
DOI: 10.23952/jnva.4.2020.3.08
Volume 4, Issue 3, 1 December 2020, Pages 439-454

Abstract. In this article, we propose an algorithm for finding a common element of the set of fixed points of quasi-$\phi_p$-nonexpansive mappings and zero points of nonnegative, l.s.c., convex mapping in a real $p$-uniformly convex and uniformly smooth Banach space by means of a modified shrinking projection method. Under some mild assumptions, strong convergence theorems are established. Preliminary numerical examples are performed to support our results.