CONVERGENCE OF ITERATES WITH ERRORS OF UNIFORMLY QUASI-LIPSCHITZIAN MAPPINGS IN CONE METRIC SPACES

被引：0

作者：

Dukic, Dusan ^{[1
]}

Paunovic, Ljiljana ^{[2
]}

Radenovic, Stojan ^{[1
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Belgrade, Serbia

[2] Univ Kosovska Mitrov, Teacher Educ Sch Prizren Leposav, Mitrovica, Serbia

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 03期

关键词：

Ishikawa type iteration; uniformly quasi-Limpshitzian mappings; cone metric space; normal and nonormal cone; fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results.

引用

页码：399 / 410

页数：12

共 50 条

[21] Inexact Iterates of Nonexpansive Mappings with Summable Errors in Metric Spaces with Graphs
Reich, Simeon
Zaslavski, Alexander J.
SYMMETRY-BASEL, 2023, 15 (10):
[22] Three Convergence Results for Iterates of Nonlinear Mappings in Metric Spaces with Graphs
Zaslavski, Alexander J.
SYMMETRY-BASEL, 2023, 15 (09):
[23] Convergence of iterates with errors of semicontractive mappings
Miao, Yu
Shen, Luming
JOURNAL OF GLOBAL OPTIMIZATION, 2011, 50 (02) : 221 - 227
[24] Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
Fukhar-ud-din, Hafiz
Khan, Safeer Hussain
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) : 821 - 829
[25] Convergence Theorems of Implicit Iterates with Errors for Generalized Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces
Saluja, G. S.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2013, 4 (01): : 21 - 34
[26] Convergence of iterates with errors of semicontractive mappings
Yu Miao
Luming Shen
Journal of Global Optimization, 2011, 50 : 221 - 227
[27] QUASI STATISTICAL CONVERGENCE IN CONE METRIC SPACES
Turan, Nihan
Kara, Emrah Evren
Ilkhan, Merve
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (04): : 613 - 626
[28] Uniformly Lipschitzian mappings in modular function spaces
Benavides, TD
Khamsi, MA
Samadi, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (02) : 267 - 278
[29] Convergence of Inexact Iterates of an Algorithm Based on Unions of Nonexpansive Mappings in Metric Spaces
Zaslavski, Alexander J. J.
SYMMETRY-BASEL, 2022, 14 (12):
[30] CONVERGENCE OF INEXACT ITERATES OF UNIFORMLY LOCALLY NONEXPANSIVE MAPPINGS
Reich, Simeon
Zaslavski, Alexander J.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (07) : 1353 - 1359

← 1 2 3 4 5 →