In this paper, we consider a class of fuzzy implicit variational inequalities with linear membership functions. By using the “tolerance approach”, we show that solving such problems can be reduced to a semi-infinite programming problem. A version of the “method of centres” with “entropic regularization” techniques, only used a quasi-Newton line search using MATLAB software is required in our im...

The main objective of this paper is to introduce interval two-point fuzzy boundary value problems, in which the fuzziness course when coefficients governing ordinary differential equation and/or conditions include numbers either triangular or trapezoidal types. Such equations will be solved by introducing concept α – level sets,  [0,1] treat into two nonfuzzy equations, correspond lower and up...

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 i...

In this paper, we study continuity and Lipschitzian properties of set-valued mappings, focusing on inner-type conditions. We introduce new notions inner calmness* and, its relaxation, fuzzy calmness*. show that polyhedral maps enjoy examine (fuzzy) a multiplier mapping associated with constraint systems in depth. Then utilize these to develop some rules generalized differential calculus, mainly...

In contemporary image and vision analysis, stochastic approaches demonstrate great flexibility in representing and modeling complex phenomena, while variational-PDE methods gain enormous computational advantages over Monte Carlo or other stochastic algorithms. In combination, the two can lead to much more powerful novel models and efficient algorithms. In the current work, we propose a stochast...