Results 51 to 60 of about 159,558 (211)

On some fixed point theorems [PDF]

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we prove a fixed point theorem for inward mappings uing a well‐known result of Ky Fan type in Hilbert space setting.
S. P. Singh, D. Roux
openaire   +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 short note on the paper "Remarks on Caristi's fixed point theorem and Kirk's problem" [PDF]

arXiv, 2010
In this paper, we demonstrate that Li's fixed point theorems are indeed equivalent with the primitive Caristi's fixed point theorem, Jachymski's fixed point theorems, Feng and Liu's fixed point theorems, Khamsi's fixed point theorems and others.
arxiv  

Extended Generalized Flett's Mean Value Theorem [PDF]

arXiv, 2016
Various forms of Mean Value Theorems are available in the literature. If we use Flett's Mean Value Theorem in Extended Generalized Mean Value Theorem then what would the new theorem look like. A sincere effort is done to develop this theorem. This theorem is named as Extended Generalized Flett's Mean Value Theorem.
arxiv  

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

On a fixed point theorem of Greguš

International 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   +1 more source

A New Fixed Point Theorem and Applications

Abstract and Applied Analysis, 2013
A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
doaj   +1 more source

Application of the omitted ray fixed point theorem

Electronic Journal of Qualitative Theory of Differential Equations, 2014
This paper presents a nontrivial application of the omitted ray fixed point theorem. Existence of solutions arguments to nonlinear boundary value problems utilizing the Krasnoselskii fixed point theorem, Leggett-Williams fixed point theorem and their ...
Douglas Anderson, Richard Avery
doaj   +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  

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