On some mappings with a unique fixed point

被引：21

作者：

Gornicki, Jaroslaw ^{[1
]}

机构：

[1] Rzesz Univ Technol, Dept Math & Appl Phys, POB 85 35-959, Rzeszow, Poland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 01期

关键词：

Asymptotic regularity; Banach contraction; complete metric space; fixed point; Kannan mapping;

D O I：

10.1007/s11784-019-0741-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to show that certain type nonlinear mappings, not necessarily continuous, on a complete metric space X have the property that each such mapping has a unique fixed point and the fixed point can always be found using Picard iteration, beginning with some initial choice x is an element of X.

引用

页数：7

共 14 条

[1]

[Anonymous], 1971, B UN MAT ITAL

[2] A note on the fixed point theorem of Gornicki [J].

Bisht, Ravindra K. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (02)

[3] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[4]

Bruck R. E., 1977, HOUSTON J MATH, V3, P459

[5] A REMARK ON A FIXED-POINT THEOREM FOR ITERATED MAPPINGS [J].

BRYANT, VW .

AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (04) :399-&

[6]

Ciric Lj. B., 1971, Math. Balkanica, V1, P52

[7]

De Blasi FS, 1974, B UNIONE MAT ITAL, V9, P818

[8] CONTRACTIVE MAPPINGS [J].

GERAGHTY, MA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 40 (02) :604-608

[9] Remarks on asymptotic regularity and fixed points [J].

Gornicki, Jaroslaw .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)

[10] Various extensions of Kannan's fixed point theorem [J].

Gornicki, Jaroslaw .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)

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