Lexicographical operator equilibrium problems
Abstract
In this paper, we introduced and studied lexicographical operator equilibrium problem by using lexicographical cone in R2. Also, we prove an existence result for solution of this problem by using Kakutani fixed point theorem. As corollaries existence results for lexicographical operator variational inequalities and lexicographical operator minimization problems are also discussed. Our results in this paper are new which can be considered as significant extension of previously known results in the literature.
Copyright © 2021 Tirth Ram, Anu Kumari Khanna. 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
T. Ram, A. K. Khanna, Lexicographical operator equilibrium problems, J. Math. Comput. Sci. 11 (2021), 2727–2735. https://doi.org/10.28919/jmcs/5577
BibTeX
@article{Ram2021,
author = {Ram, Tirth and Khanna, Anu Kumari},
title = {Lexicographical operator equilibrium problems},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2727--2735},
doi = {10.28919/jmcs/5577}
}