Mixed variational like inequalities involving perturbed operator

Tirth Ram, Ravdeep Kour

Abstract


In this paper, we study mixed variational like inequalities involving perturbed operator (in short, PMVLI) in real Hilbert spaces. Furthermore, we prove the existence of solution of PMVLI by using strongly monotonicity and Lipschitz continuity of perturbed operator, and auxiliary principle technique. Some special cases have also been discussed. Our results in this paper are new which can be considered as a significant extension and refinement of previously known results in the literature.

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Published: 2021-11-30

How to Cite this Article:

Tirth Ram, Ravdeep Kour, Mixed variational like inequalities involving perturbed operator, J. Math. Comput. Sci., 12 (2022), Article ID 22

Copyright © 2022 Tirth Ram, Ravdeep Kour. 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.

 

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