Generalized monotone mapping and resolvent equation technique with an application
Abstract
The objective of this paper is to study generalized monotone mapping, which is the addition of cocoercive mapping and monotone mapping. First resolvent operator is obtained and discussion of its few properties. Then we give the resolvent equation associated with the resolvent operator and find a solution to a variational-like inclusion problem.
Copyright © 2021 Sanjeev Gupta, Manoj Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Gupta, M. Singh, Generalized monotone mapping and resolvent equation technique with an application, J. Math. Comput. Sci. 11 (2021), 1767–1783. https://doi.org/10.28919/jmcs/5343
BibTeX
@article{Gupta2021,
author = {Gupta, Sanjeev and Singh, Manoj},
title = {Generalized monotone mapping and resolvent equation technique with an application},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1767--1783},
doi = {10.28919/jmcs/5343}
}