and Applied Analysis 3 Let X, d be an abstract metric space. The following properties are often used, particularly in the case when the underlying cone is nonnormal. The only assumption is that the cone K is solid. For details about these properties see, for example, 11 . p1 If a ha where a ∈ K and h ∈ 0, 1 , then a θ. p2 If θ u c for each c, θ c, then u θ. p3 If u v and v w, then u w. p4 If c ...

Abstract In this manuscript, we present a new notion which is named as extended N b -cone metric space over Banach algebra and investigate some fixed point results in the setting. order to examine validity of underlying gave an application for existence uniqueness solution system Fredholm integral equation. At last, interesting examples illustrate our work.

We study the speed of convergence to asymptotic cone for a finitely generated nilpotent group endowed with word metric. The first result on this theme is given by Burago who showed that an abelian metric converges normed space $$O\left( \frac{1}{n}\right) $$ in sense Gromov–Hausdorff distance. Later Krat same statement Heisenberg group, and Breuillard Le Donne constructed example, direct produc...

There are two natural metrics defined on an arbitrary convex cone: Thompson’s part metric and Hilbert’s projective metric. For both, we establish an inequality giving information about how far the metric is from being non-positively curved.

metric spaces and approximating fixed points of a pair of contractive type mappings M. Abbas, M. Jovanović, S. Radenović University of Belgrade School of Electrical Engineering http://www.etf.bg.ac.rs JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, Vol. 13, No. 2, pp. 243253, Jan, 2011 References: Abstract: Recently, Chao Wang, Jinghao Zhu, Boško Damjanović, Liang-gen Hu [Approximating fixe...