Samir Dashputre
Chattisgarh Swami Vivekanand Technical University

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Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings Dashputre, Samir; Padmavati, C.; Sakure, Kavita
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.899.29-47

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.