Author:
Khunpanuk Chainarong, ,Garodia Chanchal,Uddin Izhar,Pakkaranang Nuttapol,
Abstract
<abstract><p>In this article, we present a new modified proximal point algorithm in the framework of CAT(1) spaces which is utilized for solving common fixed point problem and minimization problems. Also, we prove convergence results of the obtained process under some mild conditions. Our results extend and improve several corresponding results of the existing literature.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference33 articles.
1. W. A. Kirk, Geodesic geometry and fixed point theory, In : Seminar of mathematical analysis (Malaga/Seville, 2002/2003), Sevilla: Universidad de Sevilla, 64 (2003), 195–225.
2. W. A. Kirk, Geodesic geometry and fixed point theory II, In: Proceedings of the international conference on fixed point theory and applications, 2003,113–142.
3. R. Espínola, A. Fernández-León, CAT($\kappa$) spaces, weak convergence and fixed points, J. Math. Anal. Appl., 353 (2009), 410–427. https://doi.org/10.1016/j.jmaa.2008.12.015
4. J. S. He, D. H. Fang, G. Lopez, C. Li, Mann's algorithm for nonexpansive mappings in CAT(κ) spaces, Nonlinear Anal.-Theor., 75 (2012), 445–452. https://doi.org/10.1016/j.na.2011.07.070
5. Y. Kimura, S. Saejung, P. Yotkaew, The Mann algorithm in a complete geodesic space with curvature bounded above, Fixed Point Theory Appl., 2013 (2013), 336. https://doi.org/10.1186/1687-1812-2013-336
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献