Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings
نویسندگان
چکیده
منابع مشابه
Common fixed point theorem for nonexpansive type single valued mappings
The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...
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and Applied Analysis 3 for each x, y ∈ U. It is also said to be uniformly smooth if the limit is attainted uniformly for each x, y ∈ U. It is well known that ifE is smooth, then the dualitymapping J is single valued. It is also known that if E is uniformly smooth, then J is uniformly norm-to-norm continuous on each bounded subset ofE. Someproperties of the dualitymapping have been given in [22]...
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متن کاملStrong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings
Let C be a closed convex subset of a Banach space E. A mapping T of C into itself is called nonexpansive if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. We denote by F(T) the set of fixed points of T . Let T1,T2, . . . ,Tr be a finite family of nonexpansive mappings satisfying that the set F =⋂i=1F(Ti) of common fixed points of T1,T2, . . . ,Tr is nonempty. The problem of finding a common fixed point has...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2014
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2014-152