New Banach Sequence Spaces That Is Defined By The Aid Of Lucas Numbers

Year 2017, Volume: 7 Issue: 4, 103 - 111, 31.12.2017

Murat Karakaş , Ayşe Metin Karakaş

Abstract

In this work, we establish a new matrix by using Lucas numbers and define a new sequence space.

Besides, we give some inclusion relations and investigate the geometrical properties such as Banach-Saks type ,

weak fixed point property for this space.

Keywords

Banach-Saks property, difference matrix, difference sequence spaces, lucas numbers, weak fixed point property

Lucas Sayıları Yardımıyla Tanımlanan Yeni Banach Dizi Uzayları

Abstract

Bu makalede, Lucas sayılarını kullanarak yeni bir matris oluşturuyoruz ve yeni bir dizi uzayı tanımlıyoruz.

Ayrıca bu uzay için bazı kapsama bağıntıları veriyoruz ve uzayın p tipi Banach-Saks, zayıf sabit nokta gibi

geometrik özelliklerini araştırıyoruz.

Keywords

Banach-Saks özelliği, fark matrisi, fark dizi uzayları, lucas sayıları, zayıf sabit nokta özelliği

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