Generalized quasi-variational-like inclusions with (a, η) and relaxed cocoercive mappings
Abstract
In this paper, we study an existence theorem of solutions for generalized quasivariational-like inclusions involving (A, η) and relaxed cocoercive mappings. We haveshown that the approximate solutions obtained by proposed algorithm converge tothe exact solutions of generalized quasi-variational-like inclusions. As an application,we have shown that generalized quasi-variational-like inclusions include optimizationproblems and also an equivalence with A-resolvent equations is given.
Copyright © 2012 Rais Ahmad, Mohammad Dilshad, Zubair Khan. 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
R. Ahmad, M. Dilshad, Z. Khan, Generalized quasi-variational-like inclusions with (a, η) and relaxed cocoercive mappings, J. Math. Comput. Sci. 2 (2012), 501–514.
BibTeX
@article{Ahmad2012,
author = {Ahmad, Rais and Dilshad, Mohammad and Khan, Zubair},
title = {Generalized quasi-variational-like inclusions with (a, η) and relaxed cocoercive mappings},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {501--514},
doi = {}
}