A STUDY OF COMMON FIXED POINT APPROXIMATIONS FOR FINITE FAMILIES OF TOTAL ASYMPTOTICALLY NON EXPANSIVE SEMI GROUP IN HYPERBOLIC SPACES

A STUDY OF COMMON FIXED POINT APPROXIMATIONS FOR FINITE FAMILIES OF TOTAL ASYMPTOTICALLY NON EXPANSIVE SEMI GROUP IN HYPERBOLIC SPACES

  • The Complete Research Material is averagely 52 pages long and it is in Ms Word Format, it has 1-5 Chapters.
  • Major Attributes are Abstract, All Chapters, Figures, Appendix, References.
  • Study Level: MTech, MSc or PhD.
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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

GENERAL INTRODUCTION

1.1     Introduction


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