Mixed type algorithms for asymptotically nonexpansive mappings in hyperbolic spaces

被引：4

作者：

Thianwan, Tanakit ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 14卷 / 03期

关键词：

uniformly convex hyperbolic space; strong convergence; common fixed points; mixed type algorithm; asymptotically nonexpansive mapping; STRONG-CONVERGENCE THEOREMS; COMMON FIXED-POINTS; NONSELF-MAPPINGS; WEAK; ITERATIONS;

D O I：

10.29020/nybg.ejpam.v14i3.4005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new mixed type iteration process for approximating a common fixed point of two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings is constructed. We then establish a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space. The results presented here extend and improve some related results in the literature.

引用

页码：650 / 665

页数：16

共 37 条

[1]

Aggarwal S. H., 2021, Math. Eng. Sci. Aerospace., V12, P413

[2] Convergence and stability of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping [J].

Aggarwal, Sajan ;

Uddin, Izhar .

DEMONSTRATIO MATHEMATICA, 2019, 52 (01) :388-396

[3] A fixed-point theorem for monotone nearly asymptotically nonexpansive mappings [J].

Aggarwal, Sajan ;

Uddin, Izhar ;

Nieto, Juan J. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (04)

[4]

[Anonymous], 1983, CONTEMP MATH-SINGAP, DOI DOI 10.1090/CONM/021/729507

[5]

Bruck R., 1993, Colloquium Mathematicum, V65, P169, DOI [10.4064/cm-65-2-169-179, DOI 10.4064/CM-65-2-169-179]

[6] Strong and weak convergence theorems for asymptotically nonexpansive mappings [J].

Chidume, CE ;

Ofoedu, EU ;

Zegeye, H .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 280 (02) :364-374

[7] FIXED-POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS [J].

GOEBEL, K ;

KIRK, WA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (01) :171-&

[8]

Goebel K, 1984, UNIFORM CONVEXITY HY

[9] Convergence theorems for mixed type asymptotically nonexpansive mappings [J].

Guo, Weiping ;

Cho, Yeol Je ;

Guo, Wei .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[10] FIXED-POINTS BY A NEW ITERATION METHOD [J].

ISHIKAWA, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) :147-150

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