Perturbed Mixed Variational-like Inequalities and Auxiliary Principle Pertaining to a Fuzzy Environment

Convex and non-convex fuzzy mappings are well known to be important in the research of optimization. Symmetry idea convexity closely related. Therefore, concept symmetry is discussion inequalities because how its definition behaves. This study aims consider new class generalized variational-like inequality for mapping which as perturbed mixed inequality. We also introduce strongly variational inequality, a particular case one. Furthermore, by using auxiliary principle technique some analytic techniques, existence results efficient numerical techniques established. As exceptional cases, obtained. Results obtained this paper can viewed refinement improvement previously results.