A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings (Q2884676)
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scientific article; zbMATH DE number 6039388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings |
scientific article; zbMATH DE number 6039388 |
Statements
30 May 2012
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Banach space
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common fixed point
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hybrid projection method
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\(B\)-monotone mappings
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generalized \(f\)-projection operator
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maximal monotone operator
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relatively quasi-nonexpansive mapping
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A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings (English)
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There are many methods for approximating common fixed points of a family of nonexpansive mappings in a uniformly smooth and uniformly convex Banach space. The purpose of this paper is to answer the following questions: (a) Can these alghorithms still be valid for relatively quasi-nonexpansive mappings? (b) Is it possible to construct an approximate fixed point sequence for finding common fixed points of an infinite family of relatively quasi-nonexpansive mappings in more general Banach spaces?
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