Delta-convergence and sequential delta-compactness on Banach spheres
Keywords:
Banach sphere, delta-convergence, fixed point approximationAbstract
In this paper, we consider notions of convergence weaker than one with a norm. We call them delta-convergence and dual-delta-convergence, and we investigate the sequential compactness. As an application, we prove a fixed point approximation theorem with the Krasnosel'skii type iterative scheme.
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