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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...

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Main Authors: Mohd. Sarfaraz, Ahmad, M. K., Kilicman, Adem
Format: Article
Language:English
Published: Springer Open 2017
Online Access: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
http://psasir.upm.edu.my/id/eprint/60920/
https://link.springer.com/content/pdf/10.1186%2Fs13660-017-1351-x.pdf
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Mohd. Sarfaraz
Ahmad, M. K.
Kilicman, Adem
spellingShingle Mohd. Sarfaraz
Ahmad, M. K.
Kilicman, Adem
Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space
author_facet Mohd. Sarfaraz
Ahmad, M. K.
Kilicman, Adem
author_sort Mohd. Sarfaraz
title 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_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_sort approximation solution for system of generalized ordered variational inclusions with operator in ordered banach space
publisher Springer Open
publishDate 2017
url 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
http://psasir.upm.edu.my/id/eprint/60920/
https://link.springer.com/content/pdf/10.1186%2Fs13660-017-1351-x.pdf
_version_ 1643837464411897856
score 13.211869

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