Existence theorems fot characters of points

Existence and Convergence Theorems of Best Proximity Points

EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS

In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...

Existence of Algebraic Hecke Characters

In this note, we will characterize a weak version of the Brumer-Stark conjecture in terms of existence of certain algebraic Hecke characters, which can be viewed as a generalization of Weil’s well-known Jacobi characters. As an application, we show that the Brumer-Stark conjecture in CM extensions implies the Brumer-Stark conjecture in general. Résumé: Dans cette note nous étudions l’équivalenc...

Existence Theorems of Fold-maps

Let N and P be smooth manifolds of dimensions n and p (n ≥ p ≥ 2) respectively. A smooth map having only fold singularities is called a fold-map. We will study conditions for a continuous map f : N → P to be homotopic to a fold-map from the viewpoint of the homotopy principle. By certain homotopy principles for fold-maps, we prove that if there exists a fiberwise epimorphism TN ⊕ θN → TP coveri...

Some results on convergence and existence of best proximity points

In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces