Kısmi Metrik Uzaylarda İntegral Tip Büzülme İçin Sabit Nokta Teoremleri

Year 2018, Volume: 8 Issue: 2, 410 - 417, 31.07.2018

Vildan Ozturk

https://doi.org/10.17714/gumusfenbil.395598

Abstract

Bu
çalışmada kısmi metrik uzaylarda, uzaklığı değiştiren fonksiyonlar aracılığıyla
(E.A)-özelliğini sağlayan dönüşümler için integral tipli büzülme tanımlanmış ve
bu tipteki büzülmeyi sağlayan dört dönüşüm için ortak sabit nokta teoremi ispatlanmıştır.

Keywords

İntegral tipli büzülme, Kısmi metrik, Sabit nokta

Fixed Point Theorems for Integral Type Contraction in Partial Metric Spaces

Abstract

In this work, integral type contraction by altering distance
functions for mappings satisfying (E.A)-property was introduced and common
fixed point theorems for four mappings satisfying this type contraction was
proved.

Keywords

Integral type contraction, Partial metric, Fixed point

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