Results 11 to 20 of about 831,822 (202)

On Tarski’s fixed point theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 2015
Proc. Amer. Math.
Curi, Giovanni
openaire   +5 more sources

A short and constructive proof of Tarski’s fixed-point theorem [PDF]

open access: yes, 2005
I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
core   +3 more sources

On a Fixed Point Theorem of Kirk [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
openaire   +1 more source

Some Simultaneous Generalizations of Well-Known Fixed Point Theorems and Their Applications to Fixed Point Theory

open access: yesMathematics, 2018
In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du   +2 more
doaj   +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-
Elagan, Sayed Khalil   +1 more
core   +1 more source

An Extension of Gregus Fixed Point Theorem

open access: yesFixed Point Theory and Applications, 2007
Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
doaj   +2 more sources

Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces

open access: yesJournal of Mathematics, 2021
This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
doaj   +1 more source

A uniqueness theorem for fixed points [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Charles Alexander Stuart, H. L. Smith
openaire   +3 more sources

New Results and Generalizations for Approximate Fixed Point Property and Their Applications

open access: yesAbstract and Applied Analysis, 2014
We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point
Wei-Shih Du, Farshid Khojasteh
doaj   +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

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