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Submitted
January 24, 2020
Accepted
December 23, 2020
Published
March 31, 2021
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Abstract

In this paper, we propose the modified proximal point algorithm with the process for three nearly Lipschitzian asymptotically nonexpansive mappings and multivalued mappings in CAT(0) space under certain conditions. We prove some convergence theorems for the algorithm which was introduced by Shamshad Hussain et al. [18]. A numerical example is given to illustrate the efficiency of proximal point algorithm for supporting our result.

Keywords

CAT(0) spaces Nearly Lipschitzian mappings Proximal point algorithm Delta-convergence.

Article Details

How to Cite
Dashputre, S., Padmavati, C., & Sakure, K. (2021). Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings. Journal of the Indonesian Mathematical Society, 27(1), 29–47. https://doi.org/10.22342/jims.27.1.899.29-47
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