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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--nonexpansive mappings and zero points of nonnegative, l.s.c., convex mapping in a real -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.
How to Cite this Article:
Liya Liu, Shrinking projection method for solving zero point and fixed point problems in Banach spaces, J. Nonlinear Var. Anal. 4 (2020), 439-454.