STUDY ON SOME FIXED POINT THEOREMS FOR BREGMAN NONEXPANSIVE TYPE MAPPING IN BANACH SPACES
STUDY ON SOME FIXED POINT THEOREMS FOR BREGMAN NONEXPANSIVE TYPE MAPPING IN BANACH SPACES
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Date
2016-03
Authors
LAWAN, Mohammed Suleman
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Abstract
In this dissertation, an iterative sequence for approximation of common fixed points of finite family quasi-Bregman total asymptotically nonexpansive mappings is constructed. Necessary and sufficient conditions for the convergence of the scheme to a common fixed point of the mappings are given. Furthermore, sufficient condition for convergence of the iteration process to a common fixed point of the mappings under the same setting is established.Moreover a new iterative sequence by hybrid method is also introduced and a strong convergence of the sequence to a common element in the set of fixed points of finite family of closed quasi-Bregman total asymptotically strictly pseudocontractive mapping and common solution to a system of equilibrium problems in reflexive Banach spaces is proved. Our results extend important recent results announced by several authors.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF M.Sc. IN MATHEMATICS
DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIA
Keywords
FIXED POINT THEOREMS, BREGMAN, NONEXPANSIVE TYPE MAPPING, BANACH SPACES