Soft Quasilinear Spaces and Soft Normed Quasilinear Spaces

Year 2020, Volume: 10 Issue: 2, 506 - 523, 30.12.2020

Hacer Bozkurt

https://doi.org/10.37094/adyujsci.728934

Cited By: 2

Abstract

In this study, a recent concepts of soft quasilinear spaces and soft proper quasilinear spaces are presented. Further, soft quasi vectors in soft quasilinear spaces are investigated, and several related properties are examined such as quasilinear dependent and quasilinear independent. Also, the concept of soft quasi norm of soft quasilinear spaces is given. Lastly, soft quasilinear operators on soft normed quasilinear spaces are defined, and some results about the bounded soft quasilinear operators and continuous soft quasilinear operators are obtained.

Keywords

soft quasilinear space, soft quasi vector, soft normed quasilinear space, soft quasilinear operator

Supporting Institution

Batman University

Esnek Quasilineer Uzaylar ve Esnek Normlu Quasilineer Uzaylar

Abstract

Bu çalışmada, yeni bir kavram olan esnek quasilineer uzay ve esnek proper quasilineer uzay kavramları sunulmuştur. Ayrıca esnek quasilineer uzayda bir esnek quasi vektör tanımı verilmiş ve bu yeni kavram ile ilgili quasilineer bağımlılık-bağımsızlık özellikleri ele alınmıştır. Esnek quasilineer uzaylarda esnek quasi norm kavramı tanıtılmıştır. Son olarak bir esnek normlu quasilineer uzayda esnek quasilineer operatör tanımı verilmiş ve sınırlı esnek quasilineer operatör ile sürekli esnek quasilineer operatörlerle ilgili bazı sonuçlar elde edilmiştir.

Keywords

Esnek quasilineer uzay, Esnek quasi vektör, Esnek normlu quasilineer uzay, Esnek quasilineer operatör

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