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Speaker:Professor Ngai-Ching Wong(Department of Applied Mathematics, National Sun Yat-sen University)

Theme:Locating common fixed points of Bregman relatively weak nonexpansive mapping

Time:12/05(Tuesday)PM 13:30

Venue:GEN III Room 837

Abstract:This talk is concerned with the problem of finding common fixed points for a family of Bregman relatively weak nonexpansive mappings. The motivation is due to our finding of some gaps in a paper of K. S. Kim (Nonlinear Analysis, 73 (2010), 3413-3419), where the author was developing a hybrid iterative scheme for locating common fixed points of a nonlinear representation of a left reversible semigroup. After a brief discussion about the gaps and why they are fatal, we present a new approach by using Bergman type nonexpansive mappings. A correct version of Kim's convergence theorem is given as a consequence of our new results.

 

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