A CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES

A Fixed Point Theorem in Generalized D-metric Spaces

a fixed point theorem in generalized d-metric spaces

I–convergence on Cone Metric Spaces

The concept of I–convergence is an important generalization of statistical convergence which depends on the notion of an ideal I of subsets of the set N of positive integers. In this paper we introduce the ideas of I–Cauchy and I∗–Cauchy sequences in cone metric spaces and study their properties. We also investigate the relation between this new Cauchy type condition and the property of complet...

A Common Fixed Point Theorem in Cone Metric Spaces 1

In this paper, we prove a common fixed point theorem for a sequence of mappings in cone metric spaces. This result offers a generalization of Huang and Zhang’ theorem in [11]. An example to support our result is presented. Mathematics Subject Classification: 54E40; 54E35; 54H25

Generalization of a Fixed Point Theorem in Cone Metric Spaces

Let P be a subset of a Banach space E and P is normal and regular cone on E, we prove the existence of the fixed point for multivalued maps in cone metric spaces and these theorems generalize the Bose and Mukerjee results and the results of varies authors.