Fixed Point Theorems in Quasi-2-Banach Spaces
Silvana Liftaj *
Department of Mathematics, University “Aleksander Moisiu”, Durres, Albania.
Luljeta Gjoni
Department of Mathematics and Computer Science, University of Gjirokastra, Albania.
Kristaq Kikina
Department of Mathematics and Computer Science, University of Gjirokastra, Albania.
*Author to whom correspondence should be addressed.
Abstract
A number of authors have studied various aspects of fixed point theory in the setting of 2-metric and 2-Banach spaces. In this paper we prove a fixed point theorem for mappings in quasi-2-Banach space via an implicit relation. The results of this paper extend a host of previously known results for metric space in a quasi-2-Banach space.
Keywords: Cauchy sequence, quasi-2-banach space, fixed point.