Results 101 to 110 of about 1,191,684 (366)

A Fixed Point Theorem for Multivalued Mappings with -Distance

, 2014
We mainly study fixed point theorem for multivalued mappings with -distance using Wardowski’s technique on complete metric space. Let be a metric space and let be a family of all nonempty bounded subsets of . Define by Considering -distance, it is proved
Ö. Acar, I. Altun
semanticscholar   +1 more source

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the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.Comment: this paper has been withdrawn by the author due to the results on the whole are ...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

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 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 fixed point theorem for contraction mappings

International Journal of Mathematics and Mathematical Sciences, 1982
Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
doaj   +1 more source

Fatou's interpolation theorem implies the Rudin-Carleson theorem [PDF]

arXiv, 2015
The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).
arxiv  

An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations.

, 2014
In this paper, an extension of Darbo fixed point theorem is introduced. By applying our extension, we obtain a coupled fixed point theorem and a solution for an integral equation.
A. Samadi, M. Ghaemi
semanticscholar   +1 more source

Research on the Evolution of Defects Initiation and the Diffusion of Dopant on the Si/SiO2 Interface

Advanced Materials Interfaces, Volume 12, Issue 8, April 21, 2025.
This review mainly introduces the recent investigations on the mechanisms of interface defect initiation and dopant diffusion, and the comparisons and discussions of the initial mechanism of defects, structures of defects to provide valuable guidance for improving the performance and extending the lifespan of Si/SiO2 interfaces.
Yunqi Yang, Dongdong Chen, Di Li, Tianlong Zhao, Weida Zhang, Wen Qiao, Yingjie Liang, Yintang Yang   +7 more
wiley   +1 more source

The closed graph theorem is the open mapping theorem [PDF]

arXiv, 2019
We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.
arxiv  

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