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/2014/9655Abstract
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.
References (11)
- 1 A Comparison of Various Definitions of Contractive Mappings [DOI]
- 2 Some Results on Fixed Points--II [DOI]
- 3 Some Remarks Concerning Contraction Mappings [DOI]
- 4 Lineare 2‐normierte Räume [DOI]
- 5 2‐Banach Spaces [DOI]
- 6 Fixed Point Theorem in 2-Metric Spaces [DOI]
- 7 Generalized quasi-Banach spaces and quasi-$(2;p)$-normed spaces
- 8 Fixed point theorems in Banach spaces
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