The rise and fall of L-spaces

Sehie PARK

doi:https://doi.org/10.31197/atnaa.786151

Makale detayları

The rise and fall of L-spaces

Yazarlar:

Sehie PARK

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 3, pp.152-166

Belge Tipi:

Makale

Yayın Tarihi:

8/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000842061

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.786151

Özet:

 

For a quite long period, the so-called L-structure or L-spaces have been studied by some authors. They have several trivial misconceptions such as their L-spaces extend the well-known generalized convex (G-convex) spaces. In order to clarify this matter and others, we show that our KKM theory on abstract convex spaces improves typical results in L-spaces. Main topics in this paper are related to extensions of the Himmelberg fixed point theorem. Since such studies are beyond of L-spaces, we cordially claim that now is the proper time to give up the useless study on L-spaces and their variants FC-spaces.

Makale detayları

The rise and fall of L-spaces

Yazarlar: Sehie PARK

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 3, pp.152-166

Belge Tipi: Makale

Yayın Tarihi: 8/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000842061

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.786151

Sayı

Yazarlar:

Sehie PARK

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2020 Vol.4 Issue 3, pp.152-166

Belge Tipi:

Makale

Yayın Tarihi:

8/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000842061

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.786151