New concepts of vector variational-like inequalities involving $\beta$-$\eta$-monotone operator
Ayed E. Hashoosh, Alaa Kadhim Khisbag · Journal | MESA · 2021
The aim of this article is to introduce a new class of vector variational-like inequalities with a new definition of $\beta-\eta$-monotone operator in Hausdorff topological linear spaces (for brief, HTLS). By utilizing FKKM technique and under some suitable suppositions on the considering nonlinear mappings, we obtain the existence of a result for a new class of vector variational-like inequalities with the new concept of $\beta-\eta$-monotone operator in the setting of (HTLS). The solutions presented in this work develop and improve some corresponding solutions of several authors.