Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Abstract convex space"'
Autor:
Chengqing Pan, Haishu Lu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 29942-29973 (2024)
In this paper, we first introduced systems of generalized vector quasi-variational equilibrium problems as well as systems of vector quasi-variational equilibrium problems as their special cases in abstract convex spaces. Next, we established some ex
Externí odkaz:
https://doaj.org/article/0372a3fc614242b1a3ac6a68bb5063a6
Publikováno v:
AIMS Mathematics, Vol 6, Iss 11, Pp 12422-12459 (2021)
In this paper, by using the KKM theory and the properties of Γ-convexity and RC-mapping, we investigate the existence of collectively fixed points for a family with a finite number of set-valued mappings on the product space of noncompact abstract c
Externí odkaz:
https://doaj.org/article/b18ae31c22884e488f67a84f0953aa23
Autor:
Park Sehie
Publikováno v:
Topological Algebra and its Applications, Vol 9, Iss 1, Pp 1-12 (2021)
A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that t
Externí odkaz:
https://doaj.org/article/8552a8474c6a4857b9093f310d43b491
Autor:
Sehie Park
Publikováno v:
Results in Nonlinear Analysis, Vol 4, Iss 1, Pp 21-32 (2021)
In 1994, Llinares introduced mc-spaces and began to study KKM theoretic results on them. Since 1998, he became an L-space theorist and repeated to claim that his mc-spaces generalize G-convex spaces without any justifications. Later he insisted that
Externí odkaz:
https://doaj.org/article/0a006055ceb6410f9c65809cbfd69ba9
Autor:
Sehie Park
Publikováno v:
Results in Nonlinear Analysis, Vol 3, Iss 2, Pp 68-77 (2020)
The purpose of this article is to introduce some works on the KKM theory which can be improved according to our theory on abstract convex spaces. In Section 2, we introduce some basic things on our abstract convex spaces as a preliminary. Section 3
Externí odkaz:
https://doaj.org/article/d827b8e8cd004a3bbd028d844cc0a05a
Autor:
Wanbok Lee
Publikováno v:
Results in Nonlinear Analysis, Vol 3, Iss 2, Pp 59-67 (2020)
P.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of T-η-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-space
Externí odkaz:
https://doaj.org/article/6bc1bb0e9e5943638d0856d597caff2d
Autor:
Sehie Park
Publikováno v:
Results in Nonlinear Analysis, Vol 3, Iss 1, Pp 12-17 (2020)
It is well-known that the Brouwer fixed point theorem (BFPT), the weak Sperner combinatorial lemma, and the Knaster-Kuratowski-Mazurkiewicz (KKM) theorem are mutually equivalent and have scores of equivalent formulations and several thousand applicat
Externí odkaz:
https://doaj.org/article/88ddd9d7d52f45ef99999c5c791a5e6c
Autor:
Sehie Park
Publikováno v:
Results in Nonlinear Analysis, Vol 2, Iss 2, Pp 71-82 (2019)
Since Khamsi found a KKM theorem for hyperconvex metric spaces in 1996, there have appeared a large number of works on them related to the KKM theory. In our previous review [34], we followed the various stages of developments of the KKM theory of
Externí odkaz:
https://doaj.org/article/b85f06fe2b2c4821b70cc57be1d55338
Akademický článek
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Autor:
Wanbok Lee, Hoonjoo Kim
We give examples of multimap classes KC and KO in topological ordered spaces. We obtain generalizations of results of Jeng, Huang, and Zhang [10] and introduce an abstract setting on the KKM theory on ordered spaces as in Park [14].
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ea9ffaa1a8eb09e3a49b5d5557fa4a4
