Author:
Janngam Kobkoon,Suantai Suthep
Abstract
In this paper, we propose a new accelerated common fixed-point algorithm for two countable families of G-nonexpansive mappings. Weak convergence results are obtained in the context of directed graphs in real Hilbert spaces. As applications, we apply the obtained results to solving some convex minimization problems and employ our proposed algorithm to solve the data classification of Breast Cancer, Heart Diseases and Ionosphere. Moreover, we also compare the performance of our proposed algorithm with other algorithms in the literature and it is shown that our algorithm has a better convergence behavior than the others.
Funder
NSRF via the program Management Unit for Human Resources & Institutional Development, Research and Innovation
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference60 articles.
1. Sur les oprations dans les ensembles abstraits et leur application aux quations intgrales;Fundam. Math.,1922
2. A fixed point theorem for mappings satisfying a general contractive condition of integral type;Int. J. Math. Math. Sci.,2002
3. A generalized Banach contraction principle that characterizes metric completeness;Proc. Am. Math. Soc.,2008
4. Common fixed point theorems for some new generalized contractive type mappings;J. Math. Anal. Appl.,2007
5. A fixed point theorem in partially ordered sets and some applications to matrix equations;Proc. Am. Math. Soc.,2004
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