Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space
The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Po...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Open
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60920/ http://psasir.upm.edu.my/id/eprint/60920/1/Approximation%20solution%20for%20system%20of%20generalized%20ordered%20variational%20inclusions%20with%20operator%20in%20ordered%20Banach%20space.pdf |
| _version_ | 1848854299169259520 |
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| author | Mohd. Sarfaraz Ahmad, M. K. Kilicman, Adem |
| author_facet | Mohd. Sarfaraz Ahmad, M. K. Kilicman, Adem |
| author_sort | Mohd. Sarfaraz |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2013:241, 2013; Eur. J. Oper. Res. 16(1):1-8, 2011; Fixed Point Theory Appl. 2014:79, 2014; Nonlinear Anal. Forum 13(2):205-214, 2008; Nonlinear Anal. Forum 14: 89-97, 2009) derived an iterative algorithm for approximating a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized ordered variational inclusions and deal with a convergence scheme for the algorithms under some appropriate conditions. Some special cases are also discussed. |
| first_indexed | 2025-11-15T11:07:39Z |
| format | Article |
| id | upm-60920 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:07:39Z |
| publishDate | 2017 |
| publisher | Springer Open |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-609202019-03-21T08:18:05Z http://psasir.upm.edu.my/id/eprint/60920/ Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space Mohd. Sarfaraz Ahmad, M. K. Kilicman, Adem The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2013:241, 2013; Eur. J. Oper. Res. 16(1):1-8, 2011; Fixed Point Theory Appl. 2014:79, 2014; Nonlinear Anal. Forum 13(2):205-214, 2008; Nonlinear Anal. Forum 14: 89-97, 2009) derived an iterative algorithm for approximating a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized ordered variational inclusions and deal with a convergence scheme for the algorithms under some appropriate conditions. Some special cases are also discussed. Springer Open 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60920/1/Approximation%20solution%20for%20system%20of%20generalized%20ordered%20variational%20inclusions%20with%20operator%20in%20ordered%20Banach%20space.pdf Mohd. Sarfaraz and Ahmad, M. K. and Kilicman, Adem (2017) Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space. Journal of Inequalities and Applications, 81. pp. 1-13. ISSN 1025-5834; ESSN:1029-242X https://link.springer.com/content/pdf/10.1186%2Fs13660-017-1351-x.pdf 10.1186/s13660-017-1351-x |
| spellingShingle | Mohd. Sarfaraz Ahmad, M. K. Kilicman, Adem Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title | Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title_full | Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title_fullStr | Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title_full_unstemmed | Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title_short | Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space |
| title_sort | approximation solution for system of generalized ordered variational inclusions with operator in ordered banach space |
| url | http://psasir.upm.edu.my/id/eprint/60920/ http://psasir.upm.edu.my/id/eprint/60920/ http://psasir.upm.edu.my/id/eprint/60920/ http://psasir.upm.edu.my/id/eprint/60920/1/Approximation%20solution%20for%20system%20of%20generalized%20ordered%20variational%20inclusions%20with%20operator%20in%20ordered%20Banach%20space.pdf |