The main objective of the Variational inequality problem is to study some functional analytic tools, projection method and fixed point theorems and then exploiting these to study the existence of solutions and convergence analysis of iterative algorithms developed for some classes of Variational inequality problem. The main objective of this paper is to study the existence of solutions of some classes of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem.
Published in | Science Journal of Applied Mathematics and Statistics (Volume 6, Issue 1) |
DOI | 10.11648/j.sjams.20180601.15 |
Page(s) | 43-48 |
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2018. Published by Science Publishing Group |
Fixed Points Theorems, Variational Inequality Problems, Strongly Lipschitz Operator
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APA Style
Nedal Hassan Elbadowi Eljaneid. (2018). A Classes of Variational Inequality Problems Involving Multivalued Mappings. Science Journal of Applied Mathematics and Statistics, 6(1), 43-48. https://doi.org/10.11648/j.sjams.20180601.15
ACS Style
Nedal Hassan Elbadowi Eljaneid. A Classes of Variational Inequality Problems Involving Multivalued Mappings. Sci. J. Appl. Math. Stat. 2018, 6(1), 43-48. doi: 10.11648/j.sjams.20180601.15
AMA Style
Nedal Hassan Elbadowi Eljaneid. A Classes of Variational Inequality Problems Involving Multivalued Mappings. Sci J Appl Math Stat. 2018;6(1):43-48. doi: 10.11648/j.sjams.20180601.15
@article{10.11648/j.sjams.20180601.15, author = {Nedal Hassan Elbadowi Eljaneid}, title = {A Classes of Variational Inequality Problems Involving Multivalued Mappings}, journal = {Science Journal of Applied Mathematics and Statistics}, volume = {6}, number = {1}, pages = {43-48}, doi = {10.11648/j.sjams.20180601.15}, url = {https://doi.org/10.11648/j.sjams.20180601.15}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20180601.15}, abstract = {The main objective of the Variational inequality problem is to study some functional analytic tools, projection method and fixed point theorems and then exploiting these to study the existence of solutions and convergence analysis of iterative algorithms developed for some classes of Variational inequality problem. The main objective of this paper is to study the existence of solutions of some classes of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem.}, year = {2018} }
TY - JOUR T1 - A Classes of Variational Inequality Problems Involving Multivalued Mappings AU - Nedal Hassan Elbadowi Eljaneid Y1 - 2018/02/24 PY - 2018 N1 - https://doi.org/10.11648/j.sjams.20180601.15 DO - 10.11648/j.sjams.20180601.15 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 43 EP - 48 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20180601.15 AB - The main objective of the Variational inequality problem is to study some functional analytic tools, projection method and fixed point theorems and then exploiting these to study the existence of solutions and convergence analysis of iterative algorithms developed for some classes of Variational inequality problem. The main objective of this paper is to study the existence of solutions of some classes of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem. VL - 6 IS - 1 ER -