Convergence analysis of the iterative methods for quasi complementarity problems

In this paper, we consider the iterative methods for the quasi complementarity problems of the formu−m(u)≥0,   T(u)≥0,   (u−m(u),T(u))=0,where m is a point-to-point mapping and T is a continuous mapping from Rn into itself. The algorithms considered in this paper are general and unified ones, which...

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Main Author: Muhammad Aslam Noor
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171288000389
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author Muhammad Aslam Noor
author_facet Muhammad Aslam Noor
author_sort Muhammad Aslam Noor
collection DOAJ
description In this paper, we consider the iterative methods for the quasi complementarity problems of the formu−m(u)≥0,   T(u)≥0,   (u−m(u),T(u))=0,where m is a point-to-point mapping and T is a continuous mapping from Rn into itself. The algorithms considered in this paper are general and unified ones, which include many existing algorithms as special cases for solving the complementarity problems.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1988-01-01
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record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5d420ac5a6d34b1eafbf667d0b49c2fd2025-02-03T05:58:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111231933410.1155/S0161171288000389Convergence analysis of the iterative methods for quasi complementarity problemsMuhammad Aslam Noor0Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaIn this paper, we consider the iterative methods for the quasi complementarity problems of the formu−m(u)≥0,   T(u)≥0,   (u−m(u),T(u))=0,where m is a point-to-point mapping and T is a continuous mapping from Rn into itself. The algorithms considered in this paper are general and unified ones, which include many existing algorithms as special cases for solving the complementarity problems.http://dx.doi.org/10.1155/S0161171288000389
spellingShingle Muhammad Aslam Noor
Convergence analysis of the iterative methods for quasi complementarity problems
International Journal of Mathematics and Mathematical Sciences
title Convergence analysis of the iterative methods for quasi complementarity problems
title_full Convergence analysis of the iterative methods for quasi complementarity problems
title_fullStr Convergence analysis of the iterative methods for quasi complementarity problems
title_full_unstemmed Convergence analysis of the iterative methods for quasi complementarity problems
title_short Convergence analysis of the iterative methods for quasi complementarity problems
title_sort convergence analysis of the iterative methods for quasi complementarity problems
url http://dx.doi.org/10.1155/S0161171288000389
work_keys_str_mv AT muhammadaslamnoor convergenceanalysisoftheiterativemethodsforquasicomplementarityproblems