Banach
contraction principle is first and most
essential result in the fixed point theory. There are many generalisations of
this principle in the literature. One of them is Geraghty contraction. In this
work, Geraghty type contraction was defined via E-distance and common fixed
point theorems were proved for two mappings satisfying Geraghty type
contraction in ordered uniform spaces. Also, some results of these theorems were
obtained.
Banach
büzülme prensibi, sabit nokta teorinin ilk ve en önemli sonucudur. Bu prensibin
literatürde pek çok genelleştirmesi vardır. Bunlardan biri de Geraghty
dönüşümüdür. Bu çalışmada, sıralı düzgün
uzaylarda, E-uzaklık fonksiyonu yardımıyla, Geraghty tipli büzülme tanımlanmış
ve Geraghty tipli büzülmeyi sağlayan iki dönüşüm için ortak sabit nokta teoremleri
ispatlanmıştır. Ayrıca bu teoremlerin bazı sonuçları elde edilmiştir.
Primary Language | English |
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Subjects | Engineering |
Journal Section | Articles |
Authors | |
Publication Date | December 25, 2019 |
Published in Issue | Year 2019 Volume: 23 Issue: 3 |
e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688
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