Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets

被引：3

作者：

Ben Amar, Afif ^{[1
]}

机构：

[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Cite Univ Zarrouk 2112, Gafsa, Tunisia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期

关键词：

Fixed point theorems; Weakly condensing; Eigenvalues; Surjectivity; LERAY-SCHAUDER ALTERNATIVES; EXISTENCE; EQUATION;

D O I：

10.2478/s11533-012-0079-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.

引用

页码：85 / 93

页数：9

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