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Volume : III, Issue : IV, May - 2013

FIXED POINT THEOREMS FOR CERTAIN CONTRACTION IN DMETRIC SPACE.

MANISHA NIVRUTI NIKHATE AND R.V. KAKDE

Published By : Laxmi Book Publication

Abstract :

In this paper we prove some fixed theorems in the set up of D- metric space and 2-metric space by introducing A - contraction .

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Cite This Article :

MANISHA NIVRUTI NIKHATE AND R.V. KAKDE, (2013). FIXED POINT THEOREMS FOR CERTAIN CONTRACTION IN DMETRIC SPACE.. Indian Streams Research Journal, Vol. III, Issue. IV, http://oldisrj.lbp.world/UploadedData/2401.pdf

References :

  1. B.C.Dhage, “A study of some fixed point theorems.” Ph.D. thesis Marathwada University, Aurangabad, India.1984.
  2. B.C.Dhage, “Generalisrd metric space with fixed point.” Bull, cal. Mal soc, 84(1992),329- 336.
  3. B.C.Dhage, A.M.Pathan and B.E.Rhoades , “A general existence principle for fixed point theorems in D-metric space,” Internet J. Math and Math, sci vol 23, 7(2000), 441-448.
  4. S. Gahler, 2metrische raume uund ihre topologiche structure, Math Nachr 26(1963), 953- 956.
  5. S. Gahler, 2metrische raume uund ihre topologiche structure, Math Nachr 28(1965), 235- 244.
  6. M.S.Khan, “A theorem on fixed points Math, seminar Notes,” (presently kobe Jr. of Math) 4(1976),227-228.

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