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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 10 | Number 1 | Year 2014 | Article Id. IJMTT-V10P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V10P506

Fixed points for α-ᴪ Contractive Mapping in 2-Metric spaces


Parveen Kumar , Poonam
Abstract

In this paper, we introduce the notion of α-ᴪ contractive type mappings in 2-metric spaces and establish fixed point theorems for these mappings.

Keywords
2-metric space, α-ᴪ contractive maps, α-admissible.
References

[1]. Ghaler, S. 2 –Metricsche raume ihre topologische structur.Math. Nachr, 26,(1963) 145-148
[2]. Iseki, K. Fixed point theorems in two metric spaces. Math . Sem. Notes. Kobe. Univ.3,(1975) 133-136.
[3]. Khan M.S, On fixed point theorems in 2-metric spaces, Publ. Inst. Math(Beogrand) (N.S), 27 (41)(1980),107-112.
[4]. Muhammad A., Fixed point theorem in certain spaces, Ph.D thesis, centre for advance studies in pure and applied mathematics, Bahauddin Za kariya. University Multon , Pakistan. February, 2005
[5]. Rhodes, B.E., Contraction type mappings on a 2-metric space, Math. Nachr. 91(1979), 151-155.
[6]. Sharma A.K. , On fixed point in 2-metric space,Math.sem Notes, Kobe Univ., 6(1978) , 467-473.
[7]. Sharma A.K. ,A generalization of Banach Contraction Principle to 2-metric space, Math.Sem Notes, Kobe Univ., 7(1979), 291-295.
[8]. Sharma A.K., On generalized Contraction in 2-metric space, Math.Sem Notes, Kobe Univ.,10(1982) , 491-506.
[9]. Samet, B., Vetro, C. And Vetro, P., Fixed point theorems for α-ψ-contractive type mappings.Nonlinear Anal.75 (4), 2154-2165 (2012)

Citation :

Parveen Kumar , Poonam, "Fixed points for α-ᴪ Contractive Mapping in 2-Metric spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 10, no. 1, pp. 34-37, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V10P506

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