ITERATIVE APPROXIMATION OF COMMON FIXEDPOINTS FOR FAMILIE S OF SOME CLASSES OF NONLINEAR OPERATORS

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dc.contributor.authorUGWUNNADI, GODWIN CHIDI
dc.date.accessioned2017-01-31T09:22:12Z
dc.date.available2017-01-31T09:22:12Z
dc.date.issued2016-03
dc.descriptionA THESIS SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF DOCTOR OF PHILOSOPHY (Ph.D) DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractIn this research, some iterative methods used to approximate common fixed pointsofsomenonlinearoperatorsinBanachspaceareintroducedandstudied. In particular, modified iterative schemes for fixed point of family of asymptotically nonexpansive mappings are introduced and studied. Therefrom, strong convergence theorem for members of this family of mapping which is also in some cases solution of some variational inequality problems is established. Furthermore, a hybrid projection method is studied and strong convergence theorem for a family of generalized asymptotically quasi- φ-strict pseudocontractive mappings in a real reflexive, strictly convex and smooth Banach space with Kadec-Klee property and whose dual also possesses Kadec Klee propertyisproved. Alsoestablishedthisthesisisastrongconvergencetheorem for infinite family of uniformlyL−Lipschitzian total quasi-φ-asymptotically nonexpansive multi-valued mappings. This is done using a generalized fprojection operator in a real uniformly convex and uniformly smooth Banach space using a new iterative scheme. Thus a new iterative scheme by set of fixed points of a finite family of closed quasi-Bregman strictly pseudocontractive mappings is proved. hybrid method is introduced and its convergence to a common element in theen_US
dc.identifier.urihttp://hdl.handle.net/123456789/8601
dc.language.isoenen_US
dc.subjectITERATIVEAPPROXIMATION,en_US
dc.subjectCOMMON FIXED POINTS,en_US
dc.subjectFAMILIES,en_US
dc.subjectCLASSES,en_US
dc.subjectNONLINEAR OPERATORS,en_US
dc.titleITERATIVE APPROXIMATION OF COMMON FIXEDPOINTS FOR FAMILIE S OF SOME CLASSES OF NONLINEAR OPERATORSen_US
dc.typeThesisen_US
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