In this article, we introduce a new notion of generalized convex fuzzy mapping known as strongly preinvex on the invex set. Firstly, have investigated some properties mapping. particular, establish equivalence among mapping, and monotonicity. We also prove that optimality conditions for sum G-differentiable mappings non-G-differentiable can be characterized by mixed variational-like inequalitie...

In game theory, players have continuous expected payoff functions and can use fixed point theorems to locate equilibria. This optimization method requires that players adopt a particular type of probability measure space. Here, we introduce alternate probability measure spaces altering the dimensionality, continuity, and differentiability properties of what are now the game’s expected payoff fu...

In this work we solve numerically a boundary value problem for second order fuzzy differential equations under generalized differentiability in the form y′′(t) = p(t)y′(t) + q(t)y(t) + F(t) y(0) = γ, y(`) = λ where t ∈ T = [0, `], p(t) ≥ 0, q(t) ≥ 0 are continuous functions on [0, `] and [γ]α = [γα ,γα ], [λ ] α = [λ α ,λ α ] are fuzzy numbers. There are four different solutions of the problem ...

In Part I of this work we derived a duality theorem for partially finite convex programs, problems for which the standard Slater condition fails almost invariably. Our result depended on a constraint qualification involving the notion of quasi relative interior. The derivation of the primal solution from a dual solution depended on the differentiability of the dual objective function: the diffe...

In this article, we establish the existence and uniqueness of (c1)-differentiable (c2)- differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using contraction mappings principle. particular, are written as hyperbolic cosine sine functions with terms, which is main difficulty. An example provided prove our results.

In this study, we introduce the classes of $phi$-strongly pseudocontractive mappings in the intermediate sense and generalized $Phi$-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for those maps. The results generalise the results of several authors in literature including Xiang [Chang He Xiang, Fixed point theorem for generalized $Phi$-pseudocontra...