IJPAM: Volume 108, No. 3 (2016)
NONEXPANSIVE MAPPINGS IN HILBERT SPACES


Sayed Fakhar Abbas Naqvi



Gyeongsang National University
Jinju 52828, KOREA

University of Education
Lahore 54000, PAKISTAN

Lahore Leads University
Lahore 54810, PAKISTAN

Gyeongsang National University
Jinju 52828, KOREA
Abstract. In this paper, we present a new viscosity technique of nonexpansive mappings in Hilbert spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters. We also give applications of the proposed viscosity technique to a more general system of variational inequalities, the constrained convex minimization problem and the -mapping.
Received: April 17, 2016
AMS Subject Classification: 47J25, 47N20, 34G20, 65J15
Key Words and Phrases: viscosity rule, Hilbert space, nonexpansive mapping, variational inequality, minimization problem, -mapping
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DOI: 10.12732/ijpam.v108i3.14 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: 3
Pages: 635 -
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This work is licensed under the Creative Commons Attribution International License (CC BY).