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

  • 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
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.

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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
Published
2017-04-02
Section
Articles