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

Resumo

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.

Downloads

Não há dados estatísticos.

Biografia do Autor

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
Publicado
2017-04-02
Edição
v. 37 n. 1 (2019)
Seção
Artigos

Copyright (c) 2017 Boletim da Sociedade Paranaense de Matemática

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International 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).

 

Crossref
Scopus
Google Scholar
Europe PMC