Common fixed point theorems for generalized G- η-χ–contractive type mappings with applications

Authors

  • Manoj Kumar Lovely Professional University Department of Mathematics http://orcid.org/0000-0002-3950-6864
  • Serkan Araci Hasan Kalyoncu University Faculty of Economics, Administrative and Social Sciences, Department of Economics

DOI:

https://doi.org/10.5269/bspm.v37i1.33610

Keywords:

Common fixed point, Complete G-metric space, Contractive type mapping, Cyclic mappings

Abstract

Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of alpha-psi-contractive type mappings in metric spaces. In 2013, Alghamdi et. al. [2] introduced the concept of G-β--contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G-η-χ-contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.

Author Biographies

  • Manoj Kumar, Lovely Professional University Department of Mathematics
    Department of Mathematics
  • Serkan Araci, Hasan Kalyoncu University Faculty of Economics, Administrative and Social Sciences, Department of Economics
    Faculty of Economics, Administrative and Social Sciences,Department of Economics

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Published

2017-04-02

Issue

Vol. 37 No. 1 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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