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Volume : III, Issue : IX, October - 2013

FIXED POINT THEOREM FOR GENERAL CONTRACTION IN 2-METRIC SPACE.

SANJAY KUMAR TIWARI AND ASHA

Published By : Laxmi Book Publication

Abstract :

In this paper we have established sufficient condition for existence of unique fixed point of contraction type mappings on complete 2-metric space for three maps.

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Cite This Article :

SANJAY KUMAR TIWARI AND ASHA, (2013). FIXED POINT THEOREM FOR GENERAL CONTRACTION IN 2-METRIC SPACE.. Indian Streams Research Journal, Vol. III, Issue. IX, http://oldisrj.lbp.world/UploadedData/3157.pdf

References :

  1. Gahler,S : 2-metrische Raume and ihre Topologische structure, Math Natch.26, 115 – 148 (1963).
  2. Iseki,K : Fixed points theorems in 2-metric Space. Math.Seminar Notes, 3, 133-136 (1975).
  3. Lal, S.N. & Singh, A.K. : An anologue of Banach’s Contraction principle for 2-metric space. Bull. Austral.Math.Soc.,Vol. 18(1978) 137 – 143.
  4. Singh,L.S. & Singh L.S. : Some fixed point theorems in 2-metric space. International transaction in Mathematical Sciences and Computer. Vol. 3 No. 1, 2010, H, 121 – 129.

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