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Volume 3, Issue 2
Iterating a System of Variational-like Inclusion Problems in Banach Spaces

Sumeera Shafi & Lakshmi Narayan Mishra

DOI: 10.12150/jnma.2021.283

J. Nonl. Mod. Anal., 3 (2021), pp. 283-300.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this manuscript, by using $(H,\varphi)-\eta$-monotone operators we study the existence of solution of a system of variational-like inclusion problems in Banach spaces. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm. The method used in this paper can be considered as an extension of methods for studying the existence of solution for various classes of variational inclusions considered and studied by many authors in Banach spaces.

  • Keywords

System of variational-like inclusion problems, $(H,\varphi)-\eta$-monotone mappings, Resolvent operator, Cocoercive mappings, Banach spaces.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-3-283, author = {Shafi , Sumeera and Mishra , Lakshmi Narayan}, title = {Iterating a System of Variational-like Inclusion Problems in Banach Spaces}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {2}, pages = {283--300}, abstract = {

In this manuscript, by using $(H,\varphi)-\eta$-monotone operators we study the existence of solution of a system of variational-like inclusion problems in Banach spaces. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm. The method used in this paper can be considered as an extension of methods for studying the existence of solution for various classes of variational inclusions considered and studied by many authors in Banach spaces.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.283}, url = {http://global-sci.org/intro/article_detail/jnma/18791.html} }
TY - JOUR T1 - Iterating a System of Variational-like Inclusion Problems in Banach Spaces AU - Shafi , Sumeera AU - Mishra , Lakshmi Narayan JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 283 EP - 300 PY - 2021 DA - 2021/04 SN - 3 DO - http://doi.org/10.12150/jnma.2021.283 UR - https://global-sci.org/intro/article_detail/jnma/18791.html KW - System of variational-like inclusion problems, $(H,\varphi)-\eta$-monotone mappings, Resolvent operator, Cocoercive mappings, Banach spaces. AB -

In this manuscript, by using $(H,\varphi)-\eta$-monotone operators we study the existence of solution of a system of variational-like inclusion problems in Banach spaces. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm. The method used in this paper can be considered as an extension of methods for studying the existence of solution for various classes of variational inclusions considered and studied by many authors in Banach spaces.

Shafi , Sumeera and Mishra , Lakshmi Narayan. (2021). Iterating a System of Variational-like Inclusion Problems in Banach Spaces. Journal of Nonlinear Modeling and Analysis. 3 (2). 283-300. doi:10.12150/jnma.2021.283
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