Fixed points for mappings with the range type condition

被引：0

作者：

García-Falset, J ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2002年 / 28卷 / 01期

关键词：

fixed points; nonexpansive mappings; accretive operators; pseudocontractive mappings;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give several fixed point results for nonlinear mappings, in particular, we study when a continuous pseudo-contractive mapping has a fixed point and we show that for any equivalent renorming of l(2), the well known fixed point free mappings by Kakutani, Baillon and others are not pseudo-contractive.

引用

页码：143 / 158

页数：16

共 19 条

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

ALSPACH, DE .

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

[2]

BAILLON JB, 1978, SEM ANAL FONCT EC PO, V7

[3] NONLINEAR MAPPINGS OF NONEXPANSIVE AND ACCRETIVE TYPE IN BANACH SPACES [J].

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :875-&

[4] FIXED-POINT THEOREMS FOR MAPPINGS SATISFYING INWARDNESS CONDITIONS [J].

CARISTI, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 215 (JAN) :241-251

[5] ZEROS OF ACCRETIVE OPERATORS [J].

DEIMLING, K .

MANUSCRIPTA MATHEMATICA, 1974, 13 (04) :365-374

[6] Fixed point theory for almost convex functions [J].

Garcia-Falset, J ;

Llorens-Fuster, E ;

Sims, B .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (05) :601-608

[7]

GARCIAFALSET J, 1997, P AM MATH SOC, V9, P2633

[8] UNIFORMLY LIPSCHITZIAN FAMILIES OF TRANSFORMATIONS IN BANACH-SPACES [J].

GOEBEL, K ;

KIRK, WA ;

THELE, RL .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (05) :1245-1256

[9]

GOEBEL K., 1990, TOPICS METRIC FIXED

[10]

KARTSATOS AG, 1995, STUD MATH, V114, P261

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