Results 11 to 20 of about 54 (53)
Relative and mutual monotonicity [PDF]
In this work we first consider a certain monotonicity relative to some given one-to-one operator and prove the counterparts, adjusted to this new con- text, of most results obtained before in the joint work with G. Kassay [10]. For two operators with the
PINTEA, Cornel
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Coincidence theorems and minimax inequalities in abstract convex spaces [PDF]
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Mohsen Rostamian Delavar +5 more
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
Extensions of best approximation and coincidence theorems
Let X be a Hausdorff compact space, E a topological vector space on which E* separates points, F : X → 2E an upper semicontinuous multifunction with compact acyclic values, and g : X → E a continuous function such that g(X) is convex and g−1(y) is acyclic for each y ∈ g(X).
Sehie Park
wiley +1 more source
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33 ...
Yang, Z.F., Talman, A.J.J.
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Coincidences and secondary Nielsen numbers [PDF]
. Let f1, f2 : X m −→ Y n be maps between smooth connected manifolds of the indicated dimensions m and n. Can f1, f2 be deformed by homotopies until they are coincidence free (i.e. f1(x) = f2(x) for all x ∈ X )?
Ulrich Koschorke
core
Topological methods in zero-sum Ramsey theory
A landmark result of Erdős, Ginzburg, and Ziv (EGZ) states that any sequence of $2n-1$ elements in ${\mathbb {Z}}/n$ contains a zero-sum subsequence of length n.
Florian Frick +7 more
doaj +1 more source
High-dimensional envy-free partitions [PDF]
A vast array of envy-free results have been found for the subdivision of one-dimensional resources, such as the interval \([0,1]\). The goal is to divide the space into \(n\) pieces and distribute them among \(n\) guests such that each receives their ...
Soberón, Pablo, Yu, Christina
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Indice de Point Fixe pour les Morphismes de Chaînes [PDF]
2000 Mathematics Subject Classification: 54H25, 55M20.The aim of this paper is to define a fixed point index for compact maps in the class of algebraic ANRs.
Cauty, Robert
core
A Discrete Multivariate Mean Value Theorem with Applications [PDF]
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
core

