ABSTRACT

In this dissertation, a multi-step iterative scheme was used to establish the

strong and  convergence theorems for finite families of uniformly asymp-

totic regular, total asymptotically nonexpansive semigroup in a uniformly

convex hyperbolic space. We also used a different method of proof, to es-

tablish the polar and  convergence theorems for finite families of uniformly

asymptotic regular, uniformly L-Lipschitzian and total asymptotically nonex-

pansive semigroup in a complete CAT(0) space. We then studied the modified

Mann iteration scheme for approximating common fixed point of a uniformly

asymptotic regular family of total asymptotically nonexpansive semigroup in

a complete CAT(0) space. We proved that the sequences generated by the

iterative schemes converges to a common fixed point of a finite family of uni-

formly asymptotic regular and total asymptotically nonexpansive semigroup

in hyperbolic spaces.

 CHAPTER ONE

You either get what you want or your money back. T&C Apply

Talk to us right now: (+234)906-451-7926 (Call/WhatsApp)

---