The rise and fall of L-spaces, II

Sehie PARK

doi:https://doi.org/10.31197/atnaa.847835

Makale detayları

The rise and fall of L-spaces, II

Yazarlar:

Sehie PARK

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.7-24

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000447619

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.847835

Özet:

 

In 2005, Ben-El-Mechaiekh, Chebbi, and Florenzano obtained a generalization of Ky Fan's 1984 KKM theorem on the intersection of a
family of closed sets on non-compact convex sets in a topological vector space. They also extended the Fan-Browder fixed point theorem
to multimaps on non-compact convex sets. Since then several groups of the L-space theorists introduced coercivity families and applied
them to L-spaces, H-spaces, etc. In this article, we show that better forms of such works can be deduced from a general KKM theorem
on abstract convex spaces in our previous works. Consequently, all of the known KKM theoretic results on L-spaces related coercivity
families are extended to corresponding better forms on abstract convex spaces.

This article is a continuation of our \cite{38} and a revised and extended version of \cite{34}.

Makale detayları

The rise and fall of L-spaces, II

Yazarlar: Sehie PARK

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.7-24

Belge Tipi: Makale

Yayın Tarihi: 3/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000447619

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.847835

Sayı

Yazarlar:

Sehie PARK

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2021 Vol.5 Issue 1, pp.7-24

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000447619

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.847835