REMARKS ON LIPSCHITZIAN MAPPINGS AND SOME FIXED POINT THEOREMS

被引：10

作者：

Matkowski, Janusz ^{[1
,2
]}

机构：

[1] Univ Zielona Gora, Inst Math, PL-65246 Zielona Gora, Poland

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2007年 / 1卷 / 02期

关键词：

Fixed point; Lipschitz mapping; subadditive function; uniformly convex space;

D O I：

10.15352/bjma/1240336222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X, Y be the normed spaces, C subset of X a convex set, and T : C -> Y a continuous mapping. Some weak conditions implying the Lipschitz continuity of T are presented. Applications to the fixed point theory and theory of composition operators are presented.

引用

页码：237 / 244

页数：8

共 50 条

[1] A REMARK ON FIXED-POINT THEOREMS FOR LIPSCHITZIAN MAPPINGS
GORNICKI, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 183 (03) : 495 - 508
[2] Fixed point theorems for Lipschitzian mappings in Banach spaces
Kim, TH
Kirk, WA
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (12) : 1905 - 1911
[3] FIXED-POINT THEOREMS FOR MAPPINGS WITH LIPSCHITZIAN ITERATES
GORNICKI, J
KRUPPEL, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (04) : 353 - 363
[4] Fixed point theorems for uniformly Lipschitzian mappings and asymptotically regular mappings
Benavides, TD
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (01) : 15 - 27
[5] Fixed point theorems for nonexpansive and P-Lipschitzian mappings
Tlili, Anouer
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (07)
[6] FIXED POINT THEOREMS FOR LIPSCHITZIAN PSEUDO-CONTRACTIVE MAPPINGS
GATICA, JA
KIRK, WA
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 368 - &
[7] Random fixed point theorems for nonlinear uniformly Lipschitzian mappings
Xu, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (07) : 1301 - 1311
[8] SOME LP INEQUALITIES AND THEIR APPLICATIONS TO FIXED-POINT THEOREMS OF UNIFORMLY LIPSCHITZIAN MAPPINGS
LIM, TC
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 45 : 119 - 125
[9] Remarks on "Some New Fixed Point Theorems for Contractive and Nonexpansive Mappings"
Pant, Rajendra
Nashine, Hemant Kumar
Kadelburg, Zoran
[J]. FILOMAT, 2017, 31 (20) : 6483 - 6491
[10] Remarks on Fixed Point Theorems of Non-Lipschitzian Selfmappings
Kim, Tae-Hwa
Jeon, Byung-Ik
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2005, 45 (03): : 433 - 443

← 1 2 3 4 5 →