Uniformly normal structure and uniformly generalized Lipschitzian semigroups

On Uniformly Generalized Lipschitzian Mappings

We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corolla...

Convergence theorems for uniformly quasi-Lipschitzian mappings

Convergence of Iterates of Uniformly L-lipschitzian and Generalized Asymptotically Nonexpansive Mappings in Cat(0) Spaces

We study strong and ∆-convergence of a modified S-type iteration process inspired by Agarwal, O’Regal and Sahu (2007) for uniformly L-Lipschitzian and generalized asymptotically nonexpansive mappings in CAT(0) spaces.

Uniformly Quasiregular Semigroups in Two Dimensions

Let G be a semigroup of K-quasiregular or K-quasimeromorphic functions mapping a given open set U in the Riemann sphere into itself, for a xed K , the semigroup operation being the composition of functions. We prove that if G satisses an algebraic condition, which is true for all abelian semigroups, then there exists a K-quasiconformal homeomorphism of U onto an open set V such that all the fun...

Fixed Points of Uniformly Lipschitzian Mappings in Metric Trees

In this paper we examine the basic structure of metric trees and prove fixed point theorems for uniformly Lipschitzian mappings in metric trees.