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Acta Mathematica Hungarica
Volume/Issue:
Volume 105: Issue 1-2
DOI:
https://doi.org/10.1023/b:amhu.0000045538.46103.a0
Author:
A. Amini-Harandi

Abstract  

We define an alternate convexically nonexpansive map T on a bounded, closed, convex subset C of a Banach space X and prove that if X is a strictly convex Banach space and C is a nonempty weakly compact convex subset of X, then every alternate convexically nonexpansive map T : C → C has a fixed point. As its application, we give an existence result for the solution of an integral equation.

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