New Fixed Point Results of Single-Valued Mapping forc-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 ...

New fixed and periodic point results on cone metric spaces

In this paper, several fixed point theorems for T-contraction of two maps on cone metric spaces under normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.

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

Common Fixed Point Results on Complex-Valued $S$-Metric Spaces

Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems usin...

New multivalued fixed point results in cone b-metric spaces

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.