Results 71 to 80 of about 159,558 (211)
Fixed Point Theorems on Partial Randomness [PDF]
Annals of Pure and Applied Logic, 2008 In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
openaire +4 more sources
Proceedings of the American Mathematical Society, 1957 Barrett O'Neill, Ernst Straus
openaire +1 more source
A fixed point theorem for contraction mappings
International Journal of Mathematics and Mathematical Sciences, 1982 Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
doaj +1 more source
A fixed point theorem for pseudo-arcs and certain other metric continua [PDF]
, 1951 O. H. Hamilton
openalex +1 more source
Generalizations of Wei's Duality Theorem [PDF]
arXiv, 2009 Wei's celebrated Duality Theorem is generalized in several ways, expressed as duality theorems for linear codes over division rings and, more generally, duality theorems for matroids. These results are further generalized, resulting in two Wei-type duality theorems for new combinatorial structures that are introduced and named {\em demi-matroids ...
arxiv
On the Brouwer fixed point theorem
Topology and its Applications, 2002 AbstractWe discuss a conjecture on homology of sphere bundles over manifolds which implies a generalization of the Brouwer fixed point theorem for Borsuk continuous multivalued mappings taking values which are one point sets or sets homeomorphic to Euclidean spheres.
openaire +2 more sources
On coincidence theorems for a family of mappings in convex metric spaces
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper, a theorem on common fixed points for a family of mappings defined on convex metric spaces is presented. This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point
Olga Hadzic
doaj +1 more source
Fixed point theorem utilizing operators and functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson +3 more
doaj +1 more source