نتایج جستجو برای: fan kkm theorem

تعداد نتایج: 156659  

2012
Nguyen Van Hung

In this paper, we study generalized quasi-variational relation problems in locally G-convex spaces. Using the Kakutani-Fan-Glicksberg fixed-point theorem for upper semicontinuous set-valued mapping with nonempty closed acyclic values, we establish an existence theorem of a solution set for these problems. Moreover, the stability and closedness of the solution set for these problems are also obt...

Journal: :Electr. J. Comb. 2014
Frédéric Meunier

Using a Zq-generalization of a theorem of Ky Fan, we extend to Kneser hypergraphs a theorem of Simonyi and Tardos that ensures the existence of multicolored complete bipartite graphs in any proper coloring of a Kneser graph. It allows to derive a lower bound for the local chromatic number of Kneser hypergraphs (using a natural definition of what can be the local chromatic number of a uniform hy...

Journal: :Computers & Mathematics with Applications 2008
Byung-Soo Lee M. Firdosh Khan Salahuddin

Solvabilities of generalized vector variational-type inequalities (GVVTI) are discussed in this work. First, the solvability of GVVTI without monotone assumption for mappings is considered in (reflexive) Banach spaces by using Brouwer fixed point theorem (Browder fixed point theorem). Second, the solvability of GVVTI with monotone assumption for mappings is considered in reflexive Banach spaces...

2011
Somyot Plubtieng Kanokwan Sitthithakerngkiet Qamrul Hasan Ansari

We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theorem by using Kakutani-Fan-Glicksberg fixed-point theorem and discuss the closedness of strong solution set for the system of generalized strong vector quasiequilibrium problem. The results ...

Journal: :Journal of Combinatorial Theory, Series A 2023

We express the beta invariant of a loopless matroid as tropical self-intersection number diagonal its fan (a “local” Poincaré-Hopf theorem). This provides another example uncovering “geometry” matroids by expressing their invariants in terms tropicalised geometric constructions. also prove global theorem and initiate study more general Lefschetz-Hopf trace formula proving two special cases curv...

2016
Seshadhri Comandur

4 History of the Sylvester-Gallai Problem 6 4.1 Melchior’s Inequality . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4.2 Motzkin’s Inequality . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.3 Kelly and Moser . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.4 Green and Tao . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.5 How to describe 3-color ...

Journal: :J. Comb. Theory, Ser. B 2007
Dhruv Mubayi Oleg Pikhurko

Let the k-graph Fan consist of k edges that pairwise intersect exactly in one vertex x, plus one more edge intersecting each of these edges in a vertex different from x. We prove that, for n sufficiently large, the maximum number of edges in an n-vertex k-graph containing no copy of Fan is ∏ k i=1 ⌊ k ⌋, which equals the number of edges in a complete k-partite k-graph with almost equal parts. T...

Journal: :Discrete Mathematics 2010
Binlong Li Shenggui Zhang

Bollobás and Scott proved that if the weighted outdegree of every vertex of a weighted digraph is at least 1, then it contains a (directed) path of weight at least 1. In this note we characterize the extremal weighted digraphs with no heavy paths. Our result is an extension of a corresponding theorem of Bondy and Fan in weighted graphs. Besides, we give examples showing the invalidity of genera...

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