Fixed point iterations for Presic-Kannan nonexpansive mappings in product convex metric spaces

被引：8

作者：

Fukhar-ud-din, Hafiz ^{[1
]}

Berinde, Vasile ^{[1
,2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[2] Tech Univ Cluj Napoca, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Cluj Napoca, Romania

来源：

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2018年 / 10卷 / 01期

关键词：

convex metric space; Presic Kannan nonexpansive mapping; fixed point; Mann iterative algorithm; convergence;

D O I：

10.2478/ausm-2018-0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce Presic-Kannan nonexpansive mappings on the product spaces and show that they have a unique fixed point in uniformly convex metric spaces. Moreover, we approximate this fixed point by Mann iterations. Our results are new in the literature and are valid in Hilbert spaces, CAT(0) spaces and Banach spaces simultaneously.

引用

页码：56 / 69

页数：14

共 25 条

[1] A FIXED-POINT FREE NON-EXPANSIVE MAP [J].

ALSPACH, DE .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 82 (03) :423-424

[2]

[Anonymous], REND 1 MATH U TRIEST

[3]

Berinde V., 2009, REV ANAL NUMER THEOR, V38, P144

[4] Coupled solutions for a bivariate weakly nonexpansive operator by iterations [J].

Berinde, Vasile ;

Khan, Abdul Rahim ;

Pacurar, Madalina .

FIXED POINT THEORY AND APPLICATIONS, 2014,

[5]

Bridson M., 1999, METRIC SPACES NONPOS

[6] SPACES WITH NON-POSITIVE CURVATURE [J].

BUSEMANN, H .

ACTA MATHEMATICA, 1948, 80 (04) :259-310

[7]

Ciric LB, 2007, ACTA MATH UNIV COMEN, V76, P143

[8] Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces [J].

Fukhar-ud-din, H. ;

Khan, A. R. ;

Akhtar, Z. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (13) :4747-4760

[9]

Fukhar-ud-din H, 2016, CARPATHIAN J MATH, V32, P315

[10]

KANNAN R, 1973, P AM MATH SOC, V38, P111

← 1 2 3 →