An Ulam stability result on quasi-b-metric-like spaces

• Autorzy: Hamed H. Alsulami , Selma Gülyaz , Erdal Karapınar , İnci M. Erhan
• Języki publikacji: EN

Abstrakty

EN

In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.

Słowa kluczowe

EN

Fixed point; Quasi-b-metric like; α-admissible contraction mappings; Ulam-Hyers stability

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 54C60: Set-valued maps
• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1087-1103

Daty

wydano

2016-01-01

otrzymano

2016-08-08

zaakceptowano

2016-10-10

online

2016-12-28

Twórcy

autor

Hamed H. Alsulami

• Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah,

autor

Selma Gülyaz

• Department of Mathematics, Cumhuriyet University, Sivas,

autor

Erdal Karapınar

• Department of Mathematics, Atılım University, Anakara, Turkey and NAAM, King AbdulAziz University, Jeddah,

autor

İnci M. Erhan

• Department of Mathematics, Atılım University, Anakara,

Identyfikatory

DOI

10.1515/math-2016-0097