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Some results of variational inclusion problems and fixed point problems with applications. (English) Zbl 1182.47052

Summary: This paper introduces a general iterative algorithm to approximate a common element in the solution set of quasi-variational inclusion problems and the common fixed point set of an infinite family of nonexpansive mappings. It is proven that the iterative sequences generated in the proposed iterative algorithm converge strongly to some common element in the framework of real Hilbert spaces.

MSC:

47J25 Iterative procedures involving nonlinear operators
47J22 Variational and other types of inclusions
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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References:

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