On Palais method in b-metric like spaces
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MACA-3-3_003
تاریخ نمایه سازی: 15 مهر 1400
Abstract:
This paper aims to prove that the Lipschitz constant in the Banach contraction principle belongs to the whole interval [۰, ۱) for all the six classes of spaces viz. metric spaces, b-metric spaces, partial metric spaces, partial b-metric spaces, metric like space, and finally for more general spaces called b-metric like spaces. For the proof, the idea of Palais is used and applied in a more general setting. However, the current approach is a bit more general, because the present result is applied to spaces, where the condition d(x, y) = ۰ yields x = y but not conversely. Accordingly, the outcome of the paper sums up, complements and binds together known results available in the current research literature.
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Authors
Nikola Mirkov
University of Belgrade, Vinca&#۰۳۹;Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Mike Petrovica Alasa ۱۲--۱۴, ۱۱۳۵۱ Belgrade, Republic of Serbia
Zoran Mitrovic
The University of Banja Luka, Faculty of Electrical Engineering, Patre ۵, ۷۸۰۰۰ Banja Luka, Bosnia and Herzegovina
Mudasir Younis
Department of Mathematics, Jammu Kashmir Institute of Mathematical Sciences, Srinagar, J and K, India
Stjan Radenovic
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije ۱۶, ۱۱۱۲۰ Belgrade, Republic of Serbia