IJPAM: Volume 108, No. 4 (2016)

VISCOSITY APPROXIMATION METHODS OF
NONEXPANSIVE MAPPINGS IN HILBERT
SPACES AND APPLICATIONS

Young Chel Kwun$^1$, Waqas Nazeer$^2$,
Sayed Fakhar Abbas Naqvi$^3$, Shin Min Kang$^4$
$^1$Department of Mathematics
Dong-A University
Busan, 49315, KOREA
$^2$Division of Science and Technology
University of Education
Lahore, 54000, PAKISTAN
$^3$Department of Mathematics
Lahore Leads University
Lahore, 54810, PAKISTAN
$^4$Department of Mathematics and RINS
Gyeongsang National University
Jinju, 52828, KOREA


Abstract. In this paper, we introduce a new viscosity approximation method of nonexpansive mappings in Hilbert spaces. The strong convergence theorems of the rules are proved under certain assumptions imposed on the sequence of parameters. Moreover, we give applications of the purposed viscosity method.

Received: April 17, 2016

AMS Subject Classification: 47J25, 47N20, 34G20, 65J15

Key Words and Phrases: viscosity approximation method, Hilbert space, nonexpansive mapping, variational inequality, minimization problem, $K$-mapping

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DOI: 10.12732/ijpam.v108i4.18 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 929 -


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