Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness

被引：13

作者：

Cardinali, Tiziana ^{[1
]}

Rubbioni, Paola ^{[1
]}

机构：

[1] Univ Perugia, Dept Math & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 405卷 / 02期

关键词：

Countably w-condensing multimaps; Fixed point theorems; Measure of weak noncompactness; w-weakly closed graph; MAPS; INCLUSIONS; SPACES;

D O I：

10.1016/j.jmaa.2013.03.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present several fixed point theorems for multimaps in Banach spaces, which in turn are multivalued versions of the Monch, Daher, Darbo and Sadovskii theorems. The main assumptions of our results are formulated in terms of weak topology and an axiomatic definition of measure of weak noncompactness. Our theorems extend in a broad sense some new and classical results; moreover, a Sadovskii type theorem stated in 2011 is improved. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：409 / 415

页数：7

共 17 条

[1] Agarwal R., 2001, J. Korean Math. Soc, V38, P669, DOI [10.1017/prm.2018.119, DOI 10.1017/PRM.2018.119]
[2] Agarwal R., 2002, Nonlinear Oscillations, V5, P277
[3] Agarwal RP, 2011, FIXED POINT THEOR-RO, V12, P247
[4] [Anonymous], 2003, INTRO NONLINEAR ANAL, DOI DOI 10.1007/978-1-4419-9158-4
[5] Appell J., 2005, FIXED POINT THEOR-RO, V6, P157
[6] ON MEASURES OF WEAK NONCOMPACTNESS
BANAS, J
RIVERO, J
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 151 : 213 - 224
[7] Benedetti I., FIXED POINT IN PRESS
[8] FIXED-POINT THEOREMS FOR MULTIFUNCTIONS IN TOPOLOGICAL VECTOR-SPACES
CARDINALI, T
PAPALINI, F
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) : 769 - 777
[9] Cardinali T, 2012, ELECTRON J QUAL THEO
[10] De Blasi FS., 1977, B MATH SOC SCI MATH, V21, P259

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