Iterative methods for a class of complementarity problems

Muhammad Aslam Noor
<span title="">1988</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7a65khxirfbfljbnqng5zzeslu" style="color: black;">Journal of Mathematical Analysis and Applications</a> </i> &nbsp;
In this paper, we propose and study an algorithm for a new class of complementarity problems of finding u E R" such that u > 0, Tu + A(u) > 0; (u, Tu + A(u)) = 0, where T is a continuous mapping and A is a nonlinear transformation from R" into itself. It is proved that the approximate solution obtained from the iterative scheme converges to the exact solution. Several special cases are also discussed. b 1988 Academic Press. Inc.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0022-247x(88)90408-8">doi:10.1016/0022-247x(88)90408-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dncq3knu5ngb3bhdufxh6mazry">fatcat:dncq3knu5ngb3bhdufxh6mazry</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171001074626/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/9f2/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS8wMDIyMjQ3eDg4OTA0MDg4.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/73/c7/73c721143fed6fefaa37da2df5aaf14bb7568908.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0022-247x(88)90408-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>