FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES

被引：4

作者：

Agarwal, Ravi P. ^{[1
,2
]}

O'Regan, Donal ^{[3
]}

Taoudi, Mohamed-Aziz ^{[4
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, 150 West Univ Blvd, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

[4] Univ Cadi Ayyad, Lab Math & Dynam Populat, Marrakech, Morocco

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 4卷 / 03期

关键词：

Fixed point theorem; U-c(k) map; topological vector space;

D O I：

10.1142/S1793557111000307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present new fixed point theorems for multivalued U-c(k)-admissible maps acting on locally convex topological vector spaces. The considered multivalued maps need not be compact. We merely assume that they are weakly compact and map weakly compact sets into relatively compact sets. Our fixed point results are obtained under Schauder, Leray-Schauder and Furi-Pera type conditions. These results are useful in applications and extend earlier works.

引用

页码：373 / 387

页数：15

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