Common Fixed Points of Two Mappings regarding a Generalized c-Distance over a Banach Algebra. (11th March 2021)

• Record Type: Journal Article
• Authors: Aryanpour, Ladan; Rahimi, Hamidreza; Soleimani Rad, Ghasem
• Other Names: Isik Huseyin Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6623606
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, applying the concept of a generalized c -distance in cone b -metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a w t -distance in b -metric spaces while they contain recent results corresponding to a generalized c -distance in cone b -metric spaces.