Modified Proximal Point Algorithms for Solving Fixed Point Problem and Convex Minimization Problem in Non-Positive Curvature Metric Spaces

Kamonrat Sombut, Nuttapol Pakkaranang, Plerrn Saipara

Abstract


In this paper, we introduce new four steps of proximal point algorithmfor nonexpansive mappings in non-positive curvature metric spaces, namely CAT($0$) spaces and also prove that the sequence generatedby proposed algorithms converges to a minimizer of a convex function and common fixed point of such mappings.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|