General variational inclusions in <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:mrow></mml:math> spaces

Noor, Muhammad Aslam

doi:https://doi.org/10.1155/IJMMS/2006/76309

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 076309 | https://doi.org/10.1155/IJMMS/2006/76309

General variational inclusions in Lp spaces

Muhammad Aslam Noor¹

Received16 Mar 2006

Revised09 May 2006

Accepted11 May 2006

Published28 Jun 2006

Abstract

It is well known that the variational inclusions are equivalent to the fixed point problems. We use this equivalent alternative formulation to suggest and analyze some iterative methods for solving variational inclusions in Lp spaces. We also consider the convergence analysis of these new iterative methods under some suitable conditions.

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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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