The equivalent Cauchy sequences in partial metric spaces.

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 4

Abstract

 In this paper we prove some conditions for equivalent Cauchy sequences in partial metric spaces. These conditions are necessary and sufficient for 0-equivalent 0-Cauchy sequences in partial metric spaces. Some examples are given to illustrate the observed results.

Authors and Affiliations

Elida Hoxha

Keywords

Related Articles

The global attractors and dimensions estimation for the Kirchho type wave equations with nonlinear strongly damped terms

This paper studies the long time behavior of the solution to the initial boundaryvalue problems for a class of strongly damped Kirchho type wave equations:utt "1ut + j ut jp1 ut + j u jq1 u (kruk2)u = f(x):Firstly, we pr...

First Order Uniform Solution for General Perturbed Harmonic Oscillator

In this paper, first order uniform solutions with respect to small parameter  are established analytically for general perturbed harmonic oscillator of the form,    are nonnegative integers. Comparison b...

On Parameters Estimation in Stochastic Differential Equations with Additive Random Effects

In this paper, we proposed a class of statistical models where random effects are inserted into a Stochastic differential equations (SDEs) model, SDE defined N independent stochastic processes  the drift term depend...

ON RANK-ONE ? *-COMMUTING OPERATORS

Let ?  be a non zero complex number. An operator A is a rank one ? *-commutes with B if AB - ? BA* has rank one. If, moreover, B is compact operator then A is called to belong to (H). In other words,(H) = fA 2...

COMMON FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACE

In this paper we prove some common fixed point theorems for two and four self-mappings using rational type contraction and some newly notified definitions in partially ordered metric space. In this way we generalized, mo...

Download PDF file
  • EP ID EP651753
  • DOI 10.24297/jam.v12i4.355
  • Views 184
  • Downloads 0

How To Cite

Elida Hoxha (2016). The equivalent Cauchy sequences in partial metric spaces.. JOURNAL OF ADVANCES IN MATHEMATICS, 12(4), 6148-6155. https://europub.co.uk/articles/-A-651753