Results 31 to 40 of about 1,116,652 (248)

Schauder’s fixed-point theorem in approximate controllability problems

open access: yesInternational Journal of Applied Mathematics and Computer Sciences, 2016
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
A. Babiarz, J. Klamka, M. Niezabitowski
semanticscholar   +1 more source

A Brouwer fixed point theorem for graph endomorphisms [PDF]

open access: yes, 2012
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T.
Knill, Oliver
core   +3 more sources

Approximate fixed point theorems [PDF]

open access: yesScientific Annals of the A.I.I. Cuza University, 2001
Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.
TORRE, ANNA, Tijs S., Brânzei R.
openaire   +6 more sources

Nadler’s fixed point theorem in ν-generalized metric spaces

open access: yesFixed Point Theory and Applications, 2017
We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space.
Tomonari Suzuki
doaj   +1 more source

A Noncontractive Fixed Point Theorem [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1970
The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
E. J. Pellicciaro
openalex   +3 more sources

Banach fixed point theorem from the viewpoint of digital topology

open access: yes, 2016
The present paper studies the Banach contraction principle for digital metric spaces such as digital intervals, simple closed k-curves, simple closed 18-surfaces and so forth.
Sang-Eon Han
semanticscholar   +1 more source

Handel's fixed point theorem revisited

open access: yes, 2012
Michael Handel proved in [7] the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity ...
Brown   +4 more
core   +2 more sources

Fixed-point-like theorems on subspaces

open access: yesFixed Point Theory and Applications, 2004
We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet, Philippe Bich
doaj   +2 more sources

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

open access: yesNonlinear Analysis, 2017
An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces ...
Muhammad Usman Ali   +2 more
doaj   +1 more source

Fixed Point Theorem in Fuzzy Metric Spaces

open access: yes, 2017
In the present paper we are proving a common fixed point theorem for fuzzy metric spaces for weakly commuting mappings.
Jitendra Singhi   +3 more
semanticscholar   +1 more source

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