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Remarks on ``On new orthogonal contractions in b-metric spaces'' and ``On orthogonal partial b-metric spaces with an application''

عنوان مقاله: Remarks on ``On new orthogonal contractions in b-metric spaces'' and ``On orthogonal partial b-metric spaces with an application''
شناسه ملی مقاله: JR_MACA-5-4_001
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:

Nicola Fabiano - Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa ۱۲--۱۴, ۱۱۳۵۱ Belgrade, Serbia
Zoran Kadelburg - University of Belgrade, Faculty of Mathematics, Studentski trg ۱۶, ۱۱۰۰۰ Belgrade, Serbia
Stojan Radenovic - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije ۱۶, ۱۱ ۱۲۰ Beograd ۳۵, Serbia
Milica Savatovic - School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra ۷۳, ۱۱۱۲۰ Belgrade, Serbia

خلاصه مقاله:
The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., ۵,  ۲۰۱۸, ۳۷--۴۰], and by K. Javed, H. Aydi, F. Uddin and M. Arshad in [On orthogonal partial b-metric spaces with an application, J. Mathematics (Hindawi), ۲۰۲۱, Article ID ۶۶۹۲۰۶۳, ۷ pages] are discussed. First of all, some formulations that are not precise in these papers are commented. Then these results are extended and unified from the case of orthogonal b-metric and orthogonal partial b-metric spaces to the wider framework of orthogonal b-metric-like spaces. Moreover, some results are generalized by proving that the contraction parameter may belong to the wider set [۰,۱).

کلمات کلیدی:
Orthogonal space, Fixed point, b-metric-like space

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1928724/