IJPAM: Volume 106, No. 1 (2016)
MONOTONE OPERATORS IN HILBERT SPACES



Gyeongsang National University
Jinju 52828, KOREA

Gyeongsang National University
Jinju 52828, KOREA
Abstract. Let be a nonempty closed convex subset of a Hilbert space
be a nonexpansive mapping,
be a
-inverse strongly monotone mapping and
be a maximal monotone operator on
such that the domain of
is included in
In this paper, we prove the iterative sequence with errors converges weakly to a common element of
and
under the suitable conditions.
Received: November 2, 2015
AMS Subject Classification: 47H05, 47H09, 46C05
Key Words and Phrases: nonexpansive mapping, inverse strongly monotone mapping, maximal monotone operator, resolvent
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DOI: 10.12732/ijpam.v106i1.18 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: 106
Issue: 1
Pages: 237 - 248
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This work is licensed under the Creative Commons Attribution International License (CC BY).