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Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces
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Type
Academic journal
Author
Journal
경북대학교 자연과학대학 수학과 Kyungpook Mathematical Journal Kyungpook Mathematical Journal 제55권 제4호 KCI Accredited Journals
Published
2015.1
Pages
933 - 951 (19page)

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Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces
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Abstract· Keywords

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In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an η-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.
#Nonexpansive mapping #strictly pseudo-contractive mapping #variational inequality #uniformly convex

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References (16)

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A. Kangtunyakarn / 2014 / Fixed point theory for nonlinear mappings in Banach spaces and applications / Fixed Point Theory Appl 2014 : 108 ~ google schola A. VanderLugt / 2005 / Optical Signal Processing / Wiley google schola C. Byrne / 2008 / A uni ed treatment of some iterative algorithms in signal processing and image reconstruction / Inverse Probl 20 : 103 ~ 120 google schola H. K. Xu / 1991 / Inequalities in Banach spaces with applications / Nonlinear Anal 16 : 1127 ~ 1138 google schola H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 : 240 ~ 256 google schola

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