Fixed Point Theorems of Single-Valued Mapping forc-Distance in Cone Metric Spaces

Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces

New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces

and Applied Analysis 3 for all x, y ∈ E. The least positive number K satisfying the above condition is called the normal constant of P . It is clear that K ≥ 1. Definition 2.1 see 9 . Let X be a nonempty set and E a real Banach space equipped with the partial ordering with respect to the cone P . Suppose that the mapping d : X × X → E satisfies the following conditions: 1 θ d x, y for all x, y ...

Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point  heorems on generalized distance in ordere...

Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces''

In this paper, we improve some recent coupled fixed point resultsfor single-valued operators in the framework of ordered $b$-metricspaces established by Bota et al. [M-F. Bota, A. Petrusel, G.Petrusel and B. Samet, Coupled fixed point theorems forsingle-valued operators in b-metric spaces, Fixed Point TheoryAppl. (2015) 2015:231]. Also, we prove that Perov-type fix...

Multi-valued fixed point theorems in complex valued $b$-metric spaces

‎The aim of this paper is to establish and prove some results on common fixed point‎ for a pair of multi-valued mappings in complex valued $b$-metric spaces‎. ‎Our‎ ‎results generalize and extend a few results in the literature‎.