Results 41 to 50 of about 159,558 (211)
A fixed point theorem for multivalued mappings
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
doaj +1 more source
Supermodular Extension of Vizing's Edge-Coloring Theorem [PDF]
K\H{o}nig's edge-coloring theorem for bipartite graphs and Vizing's edge-coloring theorem for general graphs are celebrated results in graph theory and combinatorial optimization. Schrijver generalized K\H{o}nig's theorem to a framework defined with a pair of intersecting supermodular functions. The result is called the supermodular coloring theorem.
arxiv
Almost fixed point theorems [PDF]
A closed cover version of Hazewinkel and van de Vel’s theorem on the existence of γ \gamma -almost fixed points for set-valued functions and for real Hausdorff topological vector spaces is proved. Generalizations of well-known fixed point theorems of the Schauder-Tychonoff type are presented.
openaire +1 more source
A Generalization of Kannan's Fixed Point Theorem
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji+2 more
doaj +1 more source
From abstract alpha-Ramsey theory to abstract ultra-Ramsey theory [PDF]
We work within the framework of the Alpha-Theory introduced by Benci and Di Nasso. The Alpha-Theory postulates a few natural properties for an infinite "ideal" number $\alpha$. The formulation provides an elementary axiomatics for the methods of abstract ultra-Ramsey theory.
arxiv
Note on KKM maps and applications
We apply the KKM technique to study fixed point theory, minimax inequality and coincidence theorem. Some new results on Fan-Browder fixed point theorem, Fan's minimax theorem and coincidence theorem are obtained.
Cho YJ, Lee BS, Kim JK, Chen YQ
doaj +4 more sources
Fixed Point Theorem for Uncommuting Mappings
In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.
Salwa S. Abd, Alaa Abd-ullah
doaj
A fixed point theorem for analytic functions
We prove that each analytic self-map of the open unit disk which interpolates between certain n-tuples must have a fixed point.
Valentin Matache
doaj +1 more source
On a general theorem for additive Levy processes [PDF]
We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.
arxiv
Bicomplex Mergelyan's Approximation Theorem [PDF]
In this paper we prove Area theorem, Biebarbach`s Theorem, Koebe Quarter Theorem and Mergelyan`s Approximation Theorem in the bicomplex framework.
arxiv