Geraghty Type Contraction and Common
Coupled Fixed Point Theorems in Bipolar
Metric Spaces with Applications to Homotopy

B. Srinuvasa Rao; G.N.V. Kishore; G. Kiran Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V63P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P504

Geraghty Type Contraction and Common Coupled Fixed Point Theorems in Bipolar Metric Spaces with Applications to Homotopy

B. Srinuvasa Rao, G.N.V. Kishore, G. Kiran Kumar

Abstract

In this paper, we establish the existence of common coupled fixed point results of two covariant mappings in a complete bipolar metric spaces under Geraghty type contraction by using weakly compatible mappings with an example. We have also provided an applications to Homotopy theory.

Keywords

Bipolar metric space, weakly-compatible mappings, common coupled fixed point.

References

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Citation :

B. Srinuvasa Rao, G.N.V. Kishore, G. Kiran Kumar, "Geraghty Type Contraction and Common Coupled Fixed Point Theorems in Bipolar Metric Spaces with Applications to Homotopy," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 25-34, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P504