Some fixed point theorems in generating spaces of quasi-metric family

M.H.M. Rashid

Address: Department of Mathematics and Statistics, Mu’tah University, Faculty of Science, P.O. Box (7), Al-Karak-Jordan

E-mail: malik_okasha@yahoo.com

Abstract: The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type $(R)$ in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type $(R)$, also, we give an applications by using the main theorems.

AMSclassification: primary 47H10; secondary 54H25.

Keywords: fixed point, compatible mappings, non-Archimedean Menger probabilistic normed spaces.

DOI: 10.5817/AM2017-3-161