Fixed Point Theorems for 𝜓 − 𝜑 −
𝜆 Contractions in 𝑆𝑏 − Metric Spaces

K.P.R. Sastry; K.K.M. Sarma; P. Krishna Kumari

doi:https://doi.org/10.14445/22315373/IJMTT-V56P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 1 | Year 2018 | Article Id. IJMTT-V56P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P505

Fixed Point Theorems for 𝜓 − 𝜑 − 𝜆 Contractions in 𝑆𝑏 − Metric Spaces

K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari

Citation :

K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari, "Fixed Point Theorems for 𝜓 − 𝜑 − 𝜆 Contractions in 𝑆𝑏 − Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 1, pp. 28-39, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P505

Abstract

In this paper we introduce 𝜓 − 𝜑 − 𝜆 contraction in an 𝑆𝑏 − metric space and prove fixed point theorems for 𝜓 − 𝜑 − 𝜆 contraction in 𝑆𝑏 −metric spaces. We also obtain an application of our result. Further an example in support of our result is given. Our results improve those of G.N.V Kishore et al

Keywords

Sb− metric space, fixed point, ψ - φ contraction, ψ - φ - λ contraction

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