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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 2 | Year 2018 | Article Id. IJMTT-V55P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P514

Common Fixed Point Theorem of New Type of Contraction in Complete Metric Space.


Latpate V.V, Dolhare U.P.
Abstract

In this paper we define new type of contraction and Prove common fixed point theorem for the sequence of mappings of this new type of contraction in Complete Metric Space.

Keywords
Cauchy Sequence, Complete Metric space, Fixed Point, Common fixed Point.
References

[1] S.Banach. , Surles operations dansles ensembles abstraits et leur applications aux equations integrals, Fund. Math., 3(1922) 133- 181.
[2] R. Kanan (1968) Some results on fixed points. Bull. Calcutta math. Soc, 60,182, 71-76
[3] S.K. Chatterjea, Fixed point theorems, C.R. Acad. Blgare Sci., 25(1972) 727-730.
[4] Khan M.S., on fixed point theorems. Math. Japonica 23(2) (1978/79), 201-204.
[5] Delbosko, D.,A Unified approach for all contractive mappings, Inst. Math. Univ. Torino, report Nr. 19 (1981)
[6] Adrian Constantin,on some fixed point theorems in Metric spaces, Univ. u, Novom sadu zb. Rad prirod, Mat. Fak. Ser Mat. 24, 2(1994), 9-21.

Citation :

Latpate V.V, Dolhare U.P., "Common Fixed Point Theorem of New Type of Contraction in Complete Metric Space.," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 2, pp. 111-116, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P514

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