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Research Article Open access CC BY 3.0

Fixed Point Theorems in Quasi-2-Banach Spaces

Silvana Liftaj, Luljeta Gjoni, Kristaq Kikina

Journal of Scientific Research and Reports · pp. 1534–1541 · Published 5 May 2014

10.9734/JSRR/2014/9655

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.

Cauchy sequence quasi-2-banach space fixed point.

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