In this paper, some best proximity point theorems for generalized weakly contractive mappings which satisfy certain conditions by using three control functions in partially ordered Menger PM-spaces are obtained, and sufficient conditions to guarantee the uniqueness of the best proximity points are also given. Moreover, some corollaries are derived as consequences of the main results.
We establish the global well-posedness and analyticity of mild solution to the generalized three-dimensional incompressible Navier–Stokes equations for rotating fluids if the initial data are in Fourier–Herz spaces ?_{q}^{1-2α} (R^{3}) under appropriate conditions for α and q. As corollaries, we also give the corresponding conclusions of the generalized Navier–Stokes equation.
In this paper, it is shown that two admissible meromorphic functions in the unit disc must be identical, provided that they share five small functions CM or five values IM in one angular domain.
We obtain a Stone type theorem under the frame of Hilbert C^{*}-module, such that the classical Stone theorem is our special case.
This paper deals with an extension of Hardy--Hilbert's inequality with a best constant factor by using the method of weight coefficient, and also considers its particular results.