Results 31 to 40 of about 1,116,652 (248)
Schauder’s fixed-point theorem in approximate controllability problems
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]
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
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Approximate fixed point theorems [PDF]
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
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]
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
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
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
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Fixed-point-like theorems on subspaces
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
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Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
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
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Fixed Point Theorem in Fuzzy Metric Spaces
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