Results 31 to 40 of about 1,104,947 (264)

A fixed point theorem and attractors [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
J. L. Solomon, Ludvik Janos
openaire   +2 more sources

Polynomial Analogue of Gandy’s Fixed Point Theorem

open access: yesMathematics, 2021
The paper suggests a general method for proving the fact whether a certain set is p-computable or not. The method is based on a polynomial analogue of the classical Gandy’s fixed point theorem.
Sergey Goncharov, Andrey Nechesov
doaj   +1 more source

Browder and Göhde fixed point theorem for monotone nonexpansive mappings

open access: yes, 2016
Let X be a Banach space or a complete hyperbolic metric space. Let C be a nonempty, bounded, closed, and convex subset of X and T:C→C$T: C \rightarrow C$ be a monotone nonexpansive mapping.
B. A. Bin Dehaish, M. Khamsi
semanticscholar   +1 more source

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

Existence of positive solutions for higher order three-point boundary value problems on time scales [PDF]

open access: yes, 2018
In this paper, by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively, we investigate the conditions for the existence of at least one, two and ...
Yaslan, İsmail
core   +1 more source

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

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

Duan's fixed point theorem: proof and generalization

open access: yesFixed Point Theory and Applications, 2006
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
doaj   +4 more sources

Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]

open access: yesNeutrosophic Sets and Systems
The present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh   +3 more
doaj   +1 more source

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