Results 51 to 60 of about 831,822 (202)

Fixed Point Theorem for Uncommuting Mappings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
   In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.  
Salwa S. Abd, Alaa Abd-ullah
doaj  

On a fixed point theorem of Kirk

Journal of Mathematical Analysis and Applications, 2005
The author presents a new short and simple proof of the following theorem essentially due to \textit{W. A. Kirk} [J. Math. Anal. Appl. 277, No. 2, 645--650 (2003; Zbl 1022.47036)]. Let \((X, d)\) be a complete metric space, \(T: X\to X\) continuous map and \(\{\phi_n\}\) a sequence of continuous functions such that \(\phi_n: [0, \infty)\to [0, \infty)\)
openaire   +3 more sources

A Note on the Caristi Fixed Point Theorem [PDF]

, 2015
We generalise the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.Comment: this paper has been withdrawn by the author due to the results on the whole are ...
Zubelevich, Oleg
core  

Duan's fixed point theorem: Proof and generalization

Fixed Point Theory and Applications, 2006
Let be an H-space of the homotopy type of a connected, finite CW-complex, any map and the th power map. Duan proved that has a fixed point if . We give a new, short and elementary proof of this. We then use rational homotopy to generalize to spaces
Arkowitz Martin
doaj   +2 more sources

Operator type expansion-compression fixed point theorem

Electronic Journal of Differential Equations, 2011
This article presents an alternative to the compression and expansion fixed point theorems of functional type by using operators and functions to replace the functionals and constants that are used in functional compression and expansion fixed point ...
Douglas R. Anderson, Richard I. Avery, Johnny Henderson, Xueyan Liu   +3 more
doaj  

A fixed point theorem for multivalued mappings

Electronic Journal of Qualitative Theory of Differential Equations, 2004
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
doaj   +1 more source

A fixed point theorem for non-negative functions

AIMS Mathematics
In this paper, we are concerned with the study of the existence and uniqueness of fixed points for the class of functions $ f: C\to C $ satisfying the inequality$ \ell\left(\alpha f(t)+(1-\alpha)f(s)\right)\leq \sigma \ell(\alpha t+(1-\alpha)s) $for
Hassen Aydi , Bessem Samet , Manuel De la Sen   +2 more
doaj   +1 more source

A Generalization of Kannan's Fixed Point Theorem

Fixed Point Theory and Applications, 2009
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji, Masato Nakanishi, Tomonari Suzuki   +2 more
doaj   +1 more source

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

On the Brouwer fixed point theorem

Topology and its Applications, 2002
The author studies the Brouwer-type fixed point theorem for multivalued mappings which are continuous with respect to the Borsuk continuity metric and have spheric-type values. By using deep topological methods, the fixed-point problem is expressed in terms of sphere bundles over manifolds. New methods in the fixed-point problem are presented.
openaire   +2 more sources