Results 101 to 110 of about 58,433 (206)

Solving Discrete Systems of Nonlinear Equations [PDF]

In this paper we study the existence problem of a zero point of a function defined on a finite set of elements of the integer lattice Zn of the n-dimensional Euclidean space IRn.
Laan, G. van der, Yang, Z.F., Talman, A.J.J.   +2 more
core   +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.
Enjouji Yusuke, Nakanishi Masato, Suzuki Tomonari   +2 more
doaj  

Interpolative Geraghty-Type Contractions in Bicomplex-Valued Metric Spaces: Fixed Point Results, Stability Analysis, and Applications

AppliedMath
In this paper, we introduce and systematically study the class of interpolative Geraghty-type contractive mappings within the framework of complete bicomplex-valued metric spaces (bi-CVMS).
Rakhal Das, Satyendra Narayan
doaj   +1 more source

Fixed points for singlevalued operators with respect to tau-distance [PDF]

In this paper we first recall the concept of tau-distance on a metric space. Then, we prove a fixed point theorem for singlevalued operators in terms of a tau-distance.fixed point, tau-distance, singlevalued ...
Guran, Liliana
core   +1 more source

On a fixed point theorem by Totik [PDF]

, 2009
In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self- mappings satisfying a general implicit relation involving the diameter of finite sets, without requiring continuity.
Akkouchi, Mohamed
core  

Mizoguchi-Takahashi’s Fixed Point Theorem Concerning τ−Distance

Journal of Mathematical Extension, 2010
In this paper by using the notion of τ -distance, we will prove Mizoguchi-Takahashi’s fixed point theorem, which is a generalization of fixed point theorem which has been given by ...
Z. Mohammadi
doaj  

A Piecewise-Linear Fixed Point Theorem

The American Mathematical Monthly
We prove that if a continuous piecewise-smooth map on $\mathbb{R}^n$ is comprised of two linear functions, has a bounded orbit, and satisfies a certain non-degeneracy condition, then it has a fixed point. The result has important consequences to the bifurcation theory of nonsmooth dynamical systems, yet the proof requires only elementary linear algebra.
openaire   +2 more sources

New Sufficient Conditions for the g-maximumInequality [PDF]

In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As an application, we prove a new fixed point theorem.Ky Fan inequality, g-maximum equality, fixed point.
Moussa Larbani, Rabia Nessah, Tarik Tazdaït   +2 more
core  

From an Abstract Maximal Element Principle to Optimization Problems, Stational Point Theorems and Common Fixed Point Theorems [PDF]

, 2011
[[abstract]]In this paper, we first establish an existence theorem related with intersection theorem, maximal element theorem and common fixed point theorem for multivalued maps by applying an abstract maximal element principle proved by Lin and Du. Some
Lai-Jiu Lin; Wei-Shih Du
core  

Generalization of Zhou Fixed Point Theorem

International Game Theory Review
We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an application, we derive a generalization of Topkis’ theorem on the existence and order structure of the set of Nash equilibria of supermodular games.
openaire   +2 more sources