In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...

In this paper, after reviewing some results in minimal space, some new results in this setting are given. We prove a generalized form of the Fan-KKM typetheorem in minimal vector spaces. As some applications, the open type of matching theorem and generalized form of the classical KKM theorem in minimal vector spaces are given.

The advent of modernity in Iran weakened many structures and practices, including social hangouts in cities; therefore, the public was cynical about this space. While hangouts, as a third-place and public space in a city, promote social capital, vibrant centers, and citizenship education, Tehran Daneshjoo Park, as a public space with an urban scale and physical and social features, can also be ...