منابع مشابه
On some open problems in cone metric space over Banach algebra
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. ...
متن کاملCompatibility for Six Self Maps in a Cone Metric Space
The aim of this paper is to establish a unique common fixed point theorem for six self maps satisfying a generalized contractive condition in a cone metric space. The intent of this paper is to introduce the concept of compatibility of pair of self maps in a cone metric space without assuming its normality. Our results generalize, extend and unify several well-known comparable results in the li...
متن کاملFixed point theorems under c-distance in ordered cone metric space
Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered con...
متن کاملCommon Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive
Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space.In this paper, the notion of complete cone metric ...
متن کاملReal Linear-Metric Space and Isometric Functions
Let V be a non empty metric structure. We say that V is convex if and only if the condition (Def. 1) is satisfied. (Def. 1) Let x, y be elements of the carrier of V and r be a real number. Suppose 0 ¬ r and r ¬ 1. Then there exists an element z of the carrier of V such that ρ(x, z) = r · ρ(x, y) and ρ(z, y) = (1 − r) · ρ(x, y). Let V be a non empty metric structure. We say that V is internal if...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2012
ISSN: 2156-2261
DOI: 10.1215/21562261-1728893