On Uniformly Generalized Lipschitzian Mappings

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

Strong Convergence Theorem for Fixed Points of Nearly Uniformly L−Lipschitzian Asymptotically Generalized Φ-Hemicontractive Mappings

Let C be a nonempty convex subset of a real Banach space E in which the normalized duality map is norm-to-norm uniformly continuous on bounded subsets of E. Let T be a nearly uniformly L−Lipschitzian asymptotically generalized Φ-hemicontractive map in the intermediate sense. An iterative process of the Manntype is proved to converge strongly to the unique fixed point of T . Under this setting, ...

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.

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.