Existence and convergence theorem for fixed point problem of various nonlinear mappings and variational inequality problems without some assumptions
Keyword(s):
The purpose of this article, we give a necessary and sufficient condition for the modified Mann iterative process in order to obtain a strong convergence theorem for finding a common element of the set of fixed point of a finite family of nonexpansive mappings and variational inequality problem in Hilbert space without the conditions ?Ni=1 Fix(Ti)? VI(C,A)??. Moreover, we utilize our main result to fixed point problems of strictly pseudocontractive mappings and the set of solutions of variational inequality problem.
2009 ◽
Vol 2009
(1)
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pp. 369215
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2010 ◽
Vol 31
(10)
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pp. 1273-1282
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2014 ◽
Vol 94
(4)
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2013 ◽
Vol 21
(1)
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pp. 44-51
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New iterative algorithm for variational inequality problem and fixed point problem in Hilbert spaces
2014 ◽
Vol 8
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pp. 995-1003
2017 ◽
Vol 10
(06)
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pp. 3217-3230