A GENERALIZED COROLLARY OF BROWDER-KIRK FIXED POINT THEOREM

被引：6

作者：

DOTSON, WG

MANN, WR

机构：

[1] North Carolina State University, University Of North Carolina, Chapel Hill

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1968年 / 26卷 / 03期

关键词：

D O I：

10.2140/pjm.1968.26.455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper generalizes a corollary, due to W. A. Kirk, of the F. E. Browder-W. A. Kirk fixed point theorem for nonexpansive self-mappings of closed, bounded, convex setsin uniformly convex Banach spaces. © 1968 by Pacific Journal of Mathematics.

引用

页码：455 / &

共 6 条

[1] SOLUTION BY ITERATION OF NONLINEAR FUNCTIONAL EQUATIONS IN BANACH SPACES [J].

BROWDER, FE ;

PETRYSHYN, WV .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (03) :571-+

[2] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 54 (04) :1041-&

[3] FIXED POINTS OF NONEXPANDING MAPS [J].

HALPERN, B .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :957-&

[4] A FIXED POINT THEOREM FOR MAPPINGS WHICH DO NOT INCREASE DISTANCES [J].

KIRK, WA .

AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (09) :1004-&

[5] MEAN VALUE METHODS IN ITERATION [J].

MANN, WR .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 4 (03) :506-510

[6]

OUTLAW CL, 1968, AMER MATH SOC, V15, P180

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