A Leray-Schauder type theorem for approximable maps: A simple proof

Author:

Ben-El-Mechaiekh H.,Chebbi S.,Florenzano M.

Abstract

We present a simple and direct proof for a Leray-Schauder type alternative for a large class of condensing or compact set-valued maps containing convex as well as nonconvex maps.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. [B] H. Bel El Mechaiekh, Continuous approximations of multifunctions, fixed points and coincidences, in Approximation and Optimization in the Carribean II, Proceedings of the Second International Conference on Approximation and Optimization in the Carribean, Florenzano et al. Eds., Verlag Peter Lang, Frankfurt, (1995), 69–97.

2. Approachability and fixed points for nonconvex set-valued maps;Ben-El-Mechaiekh, H.;J. Math. Anal. Appl.,1992

3. A Leray-Schauder type theorem for approximable maps;Ben-El-Mechaiekh, H.;Proc. Amer. Math. Soc.,1994

4. A theorem on the approximation of compact multivalued mappings;Cellina, Arrigo;Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8),1969

5. [CF] S. Chebbi and M. Florenzano, Maximal elements and equilibria for condensing correspondences, Cahiers Eco-Math 95.18 (1995), CERMSEM, Université de Paris I, to appear in Nonlinear Analysis.

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Duality in Multivalued Complementarity Theory by Using Inversions and Scalar Derivatives;Journal of Global Optimization;2005-10

2. Leray-Schauder alternatives for approximable maps in topological vector spaces;Mathematical and Computer Modelling;2002-02

3. Solvability of implicit complementarity problems;Annals of Operations Research;2002

4. Pseudomonotone and Implicit Complementarity Problems;Complementarity, Equilibrium, Efficiency and Economics;2002

5. A Leray–Schauder type theorem for approximable maps in topological vector spaces;Nonlinear Analysis: Theory, Methods & Applications;2001-08

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3