Parametric generalized mixed multi-valued implicit quasi-variational inclusion problems
Abstract
In this paper, by using a resolvent operator technique of maximal monotone mappings and the property of afixed-point set ofmulti-valued contractivemapping, we studythe behavior andsensitivity analysisof a solution set for a parametric generalized mixed multi-valued implicit quasi-variational inclusion problem in Hilbert space. Further, under some suitable conditions, we discuss the Lipschitz continuity (or continuity) of the solution set with respect to the parameter. By exploiting the technique of this paper, one can generalize and improve many known results in the literature.
Copyright © 2018 Faizan A. Khan, Abdullah A. Alatawi, M. Dilshad. 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
F. A. Khan, A. A. Alatawi, M. Dilshad, Parametric generalized mixed multi-valued implicit quasi-variational inclusion problems, Adv. Fixed Point Theory 8 (2018), 287–302. https://doi.org/10.28919/afpt/3692
BibTeX
@article{Khan2018,
author = {Khan, Faizan A. and Alatawi, Abdullah A. and Dilshad, M.},
title = {Parametric generalized mixed multi-valued implicit quasi-variational inclusion problems},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {287--302},
doi = {10.28919/afpt/3692}
}