Results 11 to 20 of about 270 (43)

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000
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

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 689-698, 1997., 1997
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

Periods for holomorphic maps via Lefschetz numbers [PDF]

, 2004
We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. Our main tool is the Lefschetz number and the action of maps on the first homology group.
arxiv   +1 more source

A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations in dislocatedextendedb-metricspace

Alexandria Engineering Journal, 2020
In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the
Sumati Kumari Panda, Erdal Karapınar, Abdon Atangana   +2 more
doaj  

Knaster's problem for almost $(Z_p)^k$-orbits [PDF]

Topology and its Applications, 157:5, 2010, 941-945, 2009
In this paper some new cases of Knaster's problem on continuous maps from spheres are established. In particular, we consider an almost orbit of a $p$-torus $X$ on the sphere, a continuous map $f$ from the sphere to the real line or real plane, and show that $X$ can be rotated so that $f$ becomes constant on $X$.
arxiv   +1 more source

Borsuk-Ulam theorem for the loopspace of a sphere [PDF]

arXiv, 2018
We study Borsuk-Ulam type results for the loopspace of an euclidean sphere without loops equal to their inverses.
arxiv  

The Borsuk-Ulam theorem for closed 3-dimensional manifolds having Nil Geometry [PDF]

arXiv, 2020
Let M be a closed, connected 3-manifold which admits Nil geometry, we determine all free involutions ${\tau}$ on M and the Borsuk-Ulam index of $(M,{\tau})$.
arxiv  

An Infinitary version of Sperner's lemma [PDF]

arXiv, 2002
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
arxiv  

Group actions of $A_5$ on contractible $2$-complexes [PDF]

arXiv, 2020
We prove that every action of $A_5$ on a finite $2$-dimensional contractible complex has a fixed point.
arxiv  

Equivariant evaluation subgroups and Rhodes groups [PDF]

Cah. Topol. G\'eom. Diff\'er. Cat\'eg. 48 (2007), no. 1, 55--69, 2006
In this paper, we define equivariant evaluation subgroups of the higher Rhodes groups and study their relations with Gottlieb-Fox groups.
arxiv