A Convergence Theorem of an Implicit Type Iteration in a Geodesic Space

被引：0

作者：

Kimura, Yasunori ^{[1
]}

Torii, Kakeru ^{[1
]}

机构：

[1] Toho Univ, Dept Informat Sci, Funabashi, Chiba 2748510, Japan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 05期

关键词：

Fixed point; nonexpansive mapping; implicit type iteration; quadrilateral inequality; geodesic space; Delta-convergence theorem; CAT(1) space;

D O I：

10.1080/01630563.2022.2053156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define a quadrilateral inequality, Browder type and implicit iterative method in a CAT(1) space. Furthermore, we prove a convergence theorem of the implicit iterative method in the same space used the quadrilateral inequality.

引用

页码：599 / 612

页数：14

共 50 条

[31] CASE OF CONVERGENCE FOR ITERATION OF A CONTRACTION IN A HILBERT-SPACE
MOREAU, JJ
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (03): : 143 - 144
[32] Mann iteration of weak convergence theorems in Banach space
Liang-gen Hu
Jin-ping Wang
Acta Mathematicae Applicatae Sinica, English Series, 2009, 25 : 217 - 224
[33] A Prime Geodesic Theorem of Gallagher Type for Riemann Surfaces
Avdispahic, M.
ANALYSIS MATHEMATICA, 2020, 46 (01) : 25 - 38
[34] A Prime Geodesic Theorem of Gallagher Type for Riemann Surfaces
M. Avdispahić
Analysis Mathematica, 2020, 46 : 25 - 38
[35] PRIME GEODESIC THEOREM IN THE 3-DIMENSIONAL HYPERBOLIC SPACE
Balkanova, Olga
Chatzakos, Dimitrios
Cherubini, Giacomo
Frolenkov, Dmitry
Laaksonen, Niko
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (08) : 5355 - 5374
[36] Bijections of geodesic lamination space preserving left Hausdorff convergence
Ken’ichi Ohshika
Athanase Papadopoulos
Monatshefte für Mathematik, 2019, 189 : 507 - 521
[37] CONVERGENCE THEOREM AND CONVERGENCE RATE OF A NEW FASTER ITERATION METHOD FOR CONTINUOUS FUNCTIONS ON AN ARBITRARY INTERVAL
Chairatsiripong, Chonjaroen
Kittiratanawasin, Lanchakorn
Yambangwai, Damrongsak
Thianwan, Tanakit
MISKOLC MATHEMATICAL NOTES, 2023, 24 (02) : 709 - 724
[38] Toeplitz lemma in geodesic metric space and convergence of inductive means
Choi, Byoung Jin
Ji, Un Cig
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 465 (02) : 713 - 722
[39] Convergence of subsets of a complete geodesic space with curvature bounded above
Kimura, Yasunori
Sato, Kenzi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (13) : 5079 - 5085
[40] Bijections of geodesic lamination space preserving left Hausdorff convergence
Ohshika, Ken'ichi
Papadopoulos, Athanase
MONATSHEFTE FUR MATHEMATIK, 2019, 189 (03): : 507 - 521

← 1 2 3 4 5 →