On split generalized mixed equilibrium and fixed point problems of an infinite family of quasi-nonexpansive multi-valued mappings in real Hilbert spaces
Keyword(s):
In this paper, we study split generalized mixed equilibrium problem and fixed point problem in real Hilbert spaces with a view to analyze an iterative method for approximating a common solution of split generalized mixed equilibrium problem and fixed point problem of an infinite family of a quasi-nonexpansive multi-valued mappings. The iterative algorithm introduced in this paper is designed in such a way that it does not require the knowledge of the operator norm. We state and prove a strong convergence result of the aforementioned problems and also give application of our main result to split variational inequality problem. Our result complements and extends some related results in literature.
2011 ◽
Vol 30
(4)
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pp. 931-942
2016 ◽
Vol 53
(1)
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pp. 89-114
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2012 ◽
Vol 218
(10)
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pp. 6072-6082
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2015 ◽
Vol 23
(2)
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pp. 326-333
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