The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...

 We consider generalized semi-infinite programming problems in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be convex. Considering a lower level constraint qualification, we derive a formula for estimating the subdifferential of the value function. Finally, we establish the Fritz-John necessary optimality con...

In this paper, we introduce a cone generalized semi-cyclicφ−contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.

The purpose of this paper is to introduce the concepts intuitionistic fuzzy generalized α connectedness in topological space and study some its properties. Finally we relation between semi

Let $A$ be a positive (semidefinite) operator on complex Hilbert space $\mathcal{H}$ and let $\mathbb{A}=\left(\begin{array}{cc} A & O O A \end{array}\right).$ We obtain upper lower bounds for the $A$-Davis-Wielandt radius of semi-Hilbertian operators, which generalize improve existing ones. also $\mathbb{A}$-Davis-Wielandt $2 \times 2$ matrices. Finally, we determine exact value two matr...