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The split combination of variational inequalities for fixed point theory of a finite family of nonspreading mappings

Author(s)
Kangtunyakarn, Atid
Date Issued
October 1, 2017
Type
Article
DOI
10.1007/s13398-016-0355-6
Abstract
In this research, we introduced the split combination of variational inequality problem inspired by the reseach of Kangtunyakarn (Fixed Point Theory Appl 2013:171, 2013) and Censer (Numer Algorithms 59(2):301–323, 2012). Then we prove strong convergence theorem for finding a common element of the sets of fixed points of a finite family of nonspreading mapping and the sets of solutions of such a problem. Moreover, we also prove a convergence theorem involving two split variation inequality problems by using our main results.
Citation
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 111(4), 1163-1175, 2017
Subjects

Equilibrium problem

Fixed point

Nonspreading mapping

Split combination of ...

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