X in a cone b-metric space is proved. Our result generalises many well-known re- sults. 1. Introduction.
In this paper we present some new examples in cone b-metric spaces and prove some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric spaces. The results not only directly cone b-metric space fixed point periodic boundary problem. An erratum to this article can be found
Keywords: cone b-metric space; generalized c-distance; fixed point; orbitally fixed point theorems under a wt-distance in partially ordered b-metric spaces. (also, see [21]). Bao et al. [3] defined generalized c-distance in cone b-metric spaces and obtained some fixed point results in ordered cone b-metric spaces. The aim
Khamsi ([29]) also showed that each cone metric space has a b-metric structure. In fact he proved the In 1973, Geraghty [19] gave following generalization of a Banach fixed point theorem. Theorem 1.5. Let (X, d) be a complete metric space and f a self map on X. If there exists ? ? S such that d(fx, f y) ? ?(d(x, y))d(x, y).
19 Dec 2017 Full-text (PDF) | In this paper we extend the Banach contraction for multivalued mappings in a cone b-metric space without the assumption of normality on cones and generalize some attractive results in literature. MSC: 47H10, 54H25.
cone rectangular metric space [2] and cone b-metric space [13] are some of the gen- eralized metric spaces introduced by different authors in the recent past. Analogue of Banach contraction principle, Kannan contraction principle, Ciric contraction principle etc. and many fixed point theorems for various generalized
The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to prove fixed point theorem of contractive mapping in cone b- metric spaces without using the normality condition. This result improves and generalizes some
In this paper, we give a fixed point theorem for multivalued mappings in a cone b-metric space without the assumption of normality on cones and generalize some attractive results in recent literature. c 2016 All rights reserved. Keywords: Fixed points, multivalued mappings, cone b-metric spaces. 2010 MSC: 47H10, 54H25.
1 Jan 2017 2017. Abstract: In this paper, we introduces the notion of multiplicative cone b-metric space and prove some fixed point theorems in setting of complete multiplicative cone b-metric space. An application of our main result is also provided. Keywords: Multiplicative cone b-metric space, fixed point, contractive
such spaces and improved some recent results about KKM mappings in the setting of a cone b-metric space. Throughout this paper, we firstly offer some new examples in cone b-metric spaces, then obtain some fixed point theorems of contractive mappings without the assumption of normality in cone b-metric spaces.

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February 2018