Results 51 to 60 of about 498 (73)

Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups

, 2017
Let $R(\phi)$ be the number of $\phi$-conjugacy (or Reidemeister) classes of an endomorphism $\phi$ of a group $G$. We prove for several classes of groups (including polycyclic) that the number $R(\phi)$ is equal to the number of fixed points of the ...
Fel'shtyn, Alexander, Troitsky, Evgenij
core   +1 more source

Applications of some basic theorems in the KKM theory

, 2011
In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal element theorems.
Sehie Park
semanticscholar   +1 more source

The multi-valued domination of metric spaces

, 2012
In this article, we introduce the notion of multi-valued domination of metric spaces, which is a generalization of domination in the sense of Borsuk and which encompasses previous generalizations.AMS classification: 32A12; 47H10; 55M20; 54C55; 54C15.
M. Ślosarski
semanticscholar   +1 more source

COMMON FIXED POINT THEOREMS FOR A \'{C}IRI\'{C}-REICH-RUS PAIR OF MAPPINGS IN METRIC SPACES WITH A DIRECTED GRAPH

, 2014
Let (X, d) be a complete metric space with a directed graph G. Inspired by the work of Bojor, we introduce a new contractive type condition between a pair of mappings S, T : X → X with respect to G. In particular, if S = T , we obtain the result of Bojor.
Narongsuk Boonsri, S. Chotchaisthit, S. Saejung   +2 more
semanticscholar   +1 more source

A Hadwiger Theorem for Simplicial Maps [PDF]

, 2014
We define the notion of valuation on simplicial maps between geometric realizations of simplicial complexes in $\mathbb{R}^n$. Valuations on simplicial maps are analogous to valuations on sets.
Matthew L. Wright, P. Christopher, Staecker   +2 more
core  

Configuration-like spaces and coincidences of maps on orbits

, 2010
In this paper we study the spaces of $q$-tuples of points in a Euclidean space, without $k$-wise coincidences (configuration-like spaces). A transitive group action by permuting these points is considered, and some new upper bounds on the genus (in the ...
Alexey Volovikov, Bartsch, Borsuk, Clapp, Knaster, Krasnosel’skiĭ, Krasnosel’skiĭ, Krasnosel’skiĭ, Makeev, Roman Karasev, Schwarz, Schwarz, Smale   +12 more
core   +1 more source

A Discrete Multivariate Mean Value Theorem with Applications [PDF]

AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core   +1 more source

Orbit spaces of free involutions on the product of two projective spaces

, 2010
Let $X$ be a finitistic space having the mod 2 cohomology algebra of the product of two projective spaces. We study free involutions on $X$ and determine the possible mod 2 cohomology algebra of orbit space of any free involution, using the Leray ...
A. Borel, C. Allday, C.N. Chang, C.T. Yang, G.E. Bredon, G.R. Livesay, G.X. Ritter, G.X. Ritter, J. McCleary, J.H. Rubinstein, Mahender Singh, P.E. Conner, P.M. Rice, R. Myers, R.G. Swan, R.M. Dotzel, S. Deo, S. Deo, Y. Tao   +18 more
core   +1 more source

Homological selections and fixed-point theorems

, 2016
A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set ...
Valov, Vesko
core   +1 more source

Fixed point theory of cyclical generalized contractive conditions in partial metric spaces

, 2013
The purpose of this paper is to study fixed point theorems for a mapping satisfying the cyclical generalized contractive conditions in complete partial metric spaces.
Chi-Ming Chen
semanticscholar   +1 more source