Title of article
Strong convergence theorems obtained by a generalized projections hybrid method for families of mappings in Banach spaces Original Research Article
Author/Authors
Shin-ya Matsushita، نويسنده , , Kazuhide Nakajo، نويسنده , , Wataru Takahashi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
15
From page
1466
To page
1480
Abstract
Let CC be a nonempty, closed and convex subset of a uniformly convex and smooth Banach space and let {Tn}{Tn} be a family of mappings of CC into itself such that the set of all common fixed points of {Tn}{Tn} is nonempty. We consider a sequence {xn}{xn} generated by the hybrid method by generalized projection in mathematical programming. We give conditions on {Tn}{Tn} under which {xn}{xn} converges strongly to a common fixed point of {Tn}{Tn} and generalize the results given in , , and .
Keywords
Monotone operators , Hybrid method , Generalized projection , Proximal point algorithm , Relatively nonexpansive mappings , Convex feasibility problem , WW-mappings , Strong convergence
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862611
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