EXISTENCE THEOREMS FOR ATTRACTIVE POINTS OF

Simple item page
dc.contributor.authorLAWAL, Yusuf Haruna
dc.date.accessioned2016-08-08T08:55:17Z
dc.date.available2016-08-08T08:55:17Z
dc.date.issued2016-03
dc.descriptionA DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIAen_US
dc.description.abstractIn this dissertation, we define new attractive point using Bregman distance and establish its theorems in a reflexive Banach space only. The first attractive point theorem for generalized hybrid mappings was establish in a Hilbert space. Similar result but for nonexpansive semigroup of mappings was later established.These two results were later unified by establishing attractive point and mean convergence theorems for semigroup of mappings without continuity in Hilbert space which was then extended to Banach spaces. The result was establish in the framework of smooth, strictly convex and reflexive Banach spaces. This raised a question as whether or not, the result can be established in a reflexive Banach space only. Our results improved the results announced by Lin and Takahashi (2013) and Takahashi et al. (2014a).en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8373
dc.language.isoenen_US
dc.subjectEXISTENCE THEOREMSen_US
dc.subjectATTRACTIVE POINTSen_US
dc.subjectBREGMAN SEMITOPOLOGICALen_US
dc.subjectREFLEXIVE BANACH SPACEen_US
dc.titleEXISTENCE THEOREMS FOR ATTRACTIVE POINTS OFen_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
EXISTENCE THEOREMS FOR ATTRACTIVE POINTS OF.pdf
Size:
359.09 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.58 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
SCIENCE