Cauchy sequences and a Meir-Keeler type fixed point theorem in partial metric spaces.

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 8

Abstract

In this paper we prove some new conditions for Cauchy sequences by using the diameter of orbit in partial metric spaces. A fixed point theorem for Meir-Keeler type contractions in this space is established.

Authors and Affiliations

Siditë Duraj

Keywords

Related Articles

Designing an appropriate adaptive controller for synchronizing a bi-oscillator heart model with time delay

In this paper, synchronization of heart follower oscillator which has lower frequency AV with heart leader oscillator which has dominant frequency SA will be studied. It can be seen if two nodes SA and AV are not synchro...

Linear and Weakly Non-Linear Analyses of Gravity Modulation and Electric Field on the Onset of Rayleigh-Bénard Convection in a Micropolar Fluid

The effect of time periodic body force (or g-jitter or gravity modulation) on the onset of Rayleigh-B©nard electro-convention in a micropolar fluid layer is investigated by making linear and non-linear stability analysis...

COINCIDENCE AND COMMON FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACES

In this paper, as an application of occasionally weakly compatible mappings, we prove common fixed pointtheorems under contractive conditions that extend the scope of the study of common fixed point theorems from the cla...

Convergence of the Collatz Sequence

For any natural number was created the supplement sequence, that is convergent together with the original Collatz sequence. The numerical parameter - index was defined, that is the same for both sequences. This new metho...

Higher dimensional fixed point results in complete ordered metric spaces.

The aim of this paper is to define the concept of compatible maps for n-tupled maps, a new notion propounded by M.Imdad et.al.[13] and prove n-tupled coincidence and n-tupled fixed point theorems in partially ordered met...

Download PDF file
  • EP ID EP651719
  • DOI 10.24297/jam.v12i8.5073
  • Views 161
  • Downloads 0

How To Cite

Siditë Duraj (2016). Cauchy sequences and a Meir-Keeler type fixed point theorem in partial metric spaces.. JOURNAL OF ADVANCES IN MATHEMATICS, 12(8), 6522-6529. https://europub.co.uk/articles/-A-651719