Results 11 to 20 of about 80,215 (158)

On a fixed point theorem of Greguš [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e.‖TIx−ITx‖≤‖Ix−Tx‖   for   any   x   in   X,and satisfy the inequality‖Tx−Ty‖≤a‖Ix−Iy‖+(1−a)max{‖Tx−Ix‖,‖Ty−Iy‖}for all x, y in C, where ...
Brian Fisher, Salvatore Sessa
doaj   +2 more sources

Fixed-point-like theorems on subspaces [PDF]

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

Fixed point theorem utilizing operators and functionals

open access: yesElectronic 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   +2 more sources

UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]

open access: yes, 2014
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core   +1 more source

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi   +1 more
core   +1 more source

Lefschetz fixed point theorem for digital images [PDF]

open access: yes, 2013
In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property.
Ozgur Ege   +3 more
core   +1 more source

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

A Suzuki Type Fixed-Point Theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).
Ishak Altun, Ali Erduran
doaj   +1 more source

Fixed Point Theorem of Ciric-Pata Type

open access: yesInternational Journal of Analysis and Applications, 2019
In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the support of our result.
Ao-Lei Sima, Fei He, Ning Lu
doaj   +2 more sources

New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness

open access: yesAbstract and Applied Analysis, 2013
Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
Wei-Shih Du
doaj   +1 more source

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