Best proximity problems for new types of ZZ\mathcal{Z}-proximal contractions with an application

Hüseyin IŞIK; Hassen AYDİ

doi:https://doi.org/10.31801/cfsuasmas.727181

Makale detayları

Best proximity problems for new types of ZZ\mathcal{Z}-proximal contractions with an application

Yazarlar:

Hüseyin IŞIK | Hassen AYDİ

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1405-1417

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909095

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.727181

Özet:

 

In this study, we establish  existence and uniqueness theorems of best proximity points for new types of ZZ\mathcal{Z}-proximal contractions defined on a complete metric space. The presented results improve and generalize some recent results in the literature. Several examples are constructed to demonstrate the generality of our results. As applications of the obtained results, we discuss sufficient conditions to ensure the existence of a unique solution for a variational inequality problem.

Makale detayları

Best proximity problems for new types of ZZ\mathcal{Z}-proximal contractions with an application

Yazarlar: Hüseyin IŞIK | Hassen AYDİ

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1405-1417

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000909095

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.727181

Sayı

Yazarlar:

Hüseyin IŞIK | Hassen AYDİ

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1405-1417

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909095

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.727181