[PDF] Top 20 A Unique Common Fixed Point Theorem in Cone Metric Type Spaces

... a metric, by an ordered Banach space, the authors Huang and Zhang [8] introduced the concept of cone metric ...in cone metric spaces, introduced their completeness and proved ... See full document

... and common fixed point theorems are obtained for four mappings, which are assumed to satisfy certain weak inequalities, in the framework of cone metric ...corresponding fixed ... See full document

... given cone P ⊆ E, we can define a partial ordering on E with respect to P by x y if and only if y − x ∈ P ...The cone P is called normal if there is a number κ 1 such that for all x, y ∈ E ... See full document

... some point, and so ...same type unique common fixed point ...discussed unique common fixed point theorems for a family of contractive or ... See full document

... several fixed point theorems for mappings without appealing to commutativity conditions in cone metric ...a common fixed point theorem for four self mappings in ... See full document

... of fixed points of T−Zamficescu defined on a complete cone metric space (𝑋, 𝑑), generalizing consequently the results given in [3] and [14], and we introduce T-Mann iteration and establish strong ... See full document

... Abstract In this paper, we obtain a unique common fixed point theorem for four self mappings satisfying Meir-Keeler type contractive condition in partial metric spaces, which is slightly [r] ... See full document

... By Lemma 3.1 of Jachymski [31], (20) implies (as in metric cases) that the conditions (C2) and (C3) are satisfied, but nothing on the condition (C4). Conversely, in Theorem 2.3 we have assumed that (C2) and ... See full document

... triple fixed point was introduced by ...some fixed point theorems in partially ordeded metric ...a unique common triple fixed point theorem in ... See full document

... of metric spaces, replacing the set of real numbers by an ordered Ba- nach space, hence they have defined the cone metric ...in cone metric spaces. They have proved some ... See full document

... a metric, by an ordered Banach space we obtain a generalization of metric space (see, ...such spaces under the name of cone metric ...in cone metric space, introduced ... See full document

... valued metric spaces which is more general than well known metric spaces and also gave common fixed point theorems for maps satisfying generalized contraction ...of ... See full document

... Repeating this process n times we get, d(f fu, fu) <k n l n d(f fu, fu). So k n l n d(f fu, fu) - d(f fu, fu) Î P for all n ≥ 1. Since k n l n ® 0 as n ® ∞ and P is closed, –d(f fu, fu) Î P, but P ∩ (-P) = {0}. ... See full document

... Kannan fixed point theorem and Chatterjea fixed point theorem for mappings satisfying Suzuki type contractive conditions on cone metric spaces over ... See full document

... Fixed point and common fixed point results for mappings in tvs-cone metric spaces (with the underlying cone which is not normal) under contractive conditions ... See full document

... G-metric spaces, and let f : (X, G) → (X 0 , G 0 ) be a function, then f is said to be G-continuous at a point a ∈ X if and only if, given > 0, there exists δ > 0 such that x, y ∈ X; and G(a, ... See full document

... of common fixed pint of mapping satisfying certain contractive conditions has been taken a important role in resent research ...a common fixed point theorem for commuting ... See full document

... Corollary 3.7. Let (X , d,s) be a cone metric type space with coefficient s ≥ 1 and P a normal cone with normal constant κ.Suppose the mappings f , g, S and T be self-mappings on X , such that ... See full document

... , Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed point theory ...Vetro, Common fixed points in cone ... See full document

... Srinivasa Rao, “On convergent sequences and fixed point theorems in D -metric spaces,” International Journal of Mathematics and Mathematical Sciences , vol. 1969–1988, 2005[r] ... See full document