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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.

References (11)

  1. 1 A Comparison of Various Definitions of Contractive Mappings [DOI]
  2. 2 Some Results on Fixed Points--II [DOI]
  3. 3 Some Remarks Concerning Contraction Mappings [DOI]
  4. 4 Lineare 2‐normierte Räume [DOI]
  5. 5 2‐Banach Spaces [DOI]
  6. 6 Fixed Point Theorem in 2-Metric Spaces [DOI]
  7. 7 Generalized quasi-Banach spaces and quasi-$(2;p)$-normed spaces
  8. 8 Fixed point theorems in Banach spaces
  9. 9 Involutions with fixed points in 2‐Banach spaces [DOI]
  10. 10 Fixed point theorems for almost contractions in generalized metric spaces [DOI]
  11. 11 Fixed Point Theorems for a Class of Mappings in a 2-Banach Space

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