Fixed-Discs in Rectangular Metric Spaces

Authors :: Nabil Mlaiki
Nihal Yılmaz Özgür
Nihal Taş
Hassen Aydi
Fen Edebiyat Fakültesi
Source :: Symmetry, Vol 11, Iss 2, p 294 (2019), Symmetry, Volume 11, Issue 2
Publication Year :: 2019
Publisher :: MDPI AG, 2019.
Abstract: Taş, Nihal (Balikesir Author)<br />In this manuscript, we present some results related to fixed-discs of self-mappings in rectangular metric spaces. To do this, we give new techniques modifying some classical notions such as Banach contraction principle, -admissible mappings and Brianciari type contractions. We give necessary illustrative examples to show the validity of our obtained theoretical theorems. Our results are generalizations of some fixed-circle results existing in the literature.<br />Balikesir University - 2018/021 Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) - RG-DES-2017-01-17