Regularized gap functions and error bounds for generalized mixed weak vector quasivariational inequality problems in fuzzy environments. (English) Zbl 1464.49006
Summary: In this paper, we establish gap functions for a new class of generalized mixed weak vector quasivariational inequality problems in fuzzy environments (in short, (MQVIPF)). These functions are constructed through terms of regularized gap functions using the method of nonlinear scalarization functions. Moreover, error bounds are provided for (MQVIPF) via regularized gap functions under suitable assumptions. The main results obtained in this paper improve and extend some corresponding known results. Some examples are given to illustrate our results.
MSC:
| 49J40 | Variational inequalities |
| 47S40 | Fuzzy operator theory |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
Keywords:
generalized mixed weak vector quasivariational inequality problems; fuzzy mappings; regularized gap functions; error bounds; scalarizationReferences:
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