A STUDY OF COMMON FIXED POINT APPROXIMATIONS FOR FINITE FAMILIES OF TOTAL ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP IN HYPERBOLIC SPACES

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dc.contributor.authorGARBA, ISMA’IL DANBABA
dc.date.accessioned2018-10-16T11:42:23Z
dc.date.available2018-10-16T11:42:23Z
dc.date.issued2017-10
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POST-GRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS FACULTY OF PHYSICAL SCIENCES AHMADU BELLO UNIVERSITY, ZARIA NIGERIA.en_US
dc.description.abstractIn this dissertation, a multi-step iterative scheme was used to establish the strong and convergence theorems for finite families of uniformly asymptotic regular, total asymptotically nonexpansive semigroup in a uniformly convex hyperbolic space. We also used a different method of proof, to establish the polar and convergence theorems for finite families of uniformly asymptotic regular, uniformly L-Lipschitzian and total asymptotically nonexpansive 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 uniformly asymptotic regular and total asymptotically nonexpansive semigroup in hyperbolic spaces.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/10636
dc.language.isoenen_US
dc.subjectFIXED POINT,en_US
dc.subjectAPPROXIMATIONS,en_US
dc.subjectFINITE,en_US
dc.subjectTOTAL,en_US
dc.subjectASYMPTOTICALLY,en_US
dc.subjectNONEXPANSIVE,en_US
dc.subjectSEMIGROUP,en_US
dc.subjectHYPERBOLIC,en_US
dc.subjectSPACES,en_US
dc.titleA STUDY OF COMMON FIXED POINT APPROXIMATIONS FOR FINITE FAMILIES OF TOTAL ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP IN HYPERBOLIC SPACESen_US
dc.typeThesisen_US
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