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Convergence analysis of modified iterative approaches in geodesic spaces with curvature bounded above
Author(s) -
Thounthong Phatiphat,
Pakkaranang Nuttapol,
Saipara Phachara,
Phairatchatniyom Pawicha,
Kumam Poom
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5924
Subject(s) - mathematics , geodesic , convergence (economics) , curvature , bounded function , modes of convergence (annotated index) , mathematical analysis , pure mathematics , geometry , topological space , topological vector space , isolated point , economics , economic growth
The objective of this article is to establish a new modified iteration process for nonexpansive mappings in complete CAT( κ ) spaces. We prove strong and Δ‐convergence theorems of the proposed method in such spaces under some standard conditions. Furthermore, numerical experiments of non‐trivial examples are also provided to show performance and comparison speed of convergence with many previously known methods. Our main result extended and improved the corresponding recent results announced by many researchers.