Fixed Points of Nonexpansive Mappings on Star-Shaped Subsets of a Convex Metric Space

Deng Lei; Ding Xie-ping

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(2): 121-127

Deng Lei, Ding Xie-ping. Fixed Points of Nonexpansive Mappings on Star-Shaped Subsets of a Convex Metric Space[J]. Applied Mathematics and Mechanics, 1992, 13(2): 121-127.

Citation:

Deng Lei, Ding Xie-ping. Fixed Points of Nonexpansive Mappings on Star-Shaped Subsets of a Convex Metric Space[J]. Applied Mathematics and Mechanics, 1992, 13(2): 121-127.

Citation:

Deng Lei, Ding Xie-ping. Fixed Points of Nonexpansive Mappings on Star-Shaped Subsets of a Convex Metric Space[J]. Applied Mathematics and Mechanics, 1992, 13(2): 121-127.

PDF( 457 KB)

Fixed Points of Nonexpansive Mappings on Star-Shaped Subsets of a Convex Metric Space

Deng Lei¹,
Ding Xie-ping²

1.
Chongqing Teacher's College, Chongqing;
2.
Sichuan Normal University, Chengdu

Received Date: 1991-01-07
Publish Date: 1992-02-15

Abstract

Abstract

In this paper,we give some characteristic properties of star-shaped sets which include a subset of a convex metric space.Using the characteristic properties,we discuss the ezistence problems of fized points of nonezpansive type mappings on star-shaped subsets of convex metric spaces, which generalize the recent results obtained by Ding Xie-ping, Beg and Azam. Finally, we give an ezample which shows that our generalizations are essential.
- star-shaped set,
- star centre,
- nor mal structure of a star-shaped set

FullText(HTML)

References(7)

References

[1]	Takahashi,W.,A convexity in metric space and noneapansive mappings,I,Kodai Math.Sum,Rep,,22(1970),142-149.
[2]	丁协平,T-凸距离空间内非扩张型映射的不动点,纯粹数学与应用数学,5(1989),39-42.
[3]	Beg,Ismat and Akbar Azam,Fixed points on star-shaped subsets of convey metric spaces.Indian J.Pure Appl.Moth.,18(7)(1987),594-596.
[4]	张石生、黄发伦,关于Banach空间中平均非扩张映象的不动点理论,四川大学学报(自然科学版),(2)(1975),67-78.
[5]	Jaggi,D.S.,On fiacd points of noneapansive mappings,Contemporary Mathe maticaly(1983),147-149.
[6]	Wong,C,S.,On Kannan maps,Proc,Amer,Math.Soc,,(47)(1975),105-111.
[7]	Kannan,R,,Fized point theorems in reflexive Banach spaces,Proc.Amer.Math.Soc,,(38)(1973),111-118.