Fixed Point Theorems for Generalized \((\alpha,\psi)\)-Expansive Mappings in Generalized Metric Spaces

Authors

  • Manoj Kumar Department of Mathematics, Lovely Professional University, Phagwara, Punjab
  • Serkan Araci Faculty of Economics, Administrative and Social Sciences, Department of Economics, Hasan Kalyoncu University, TR-27410 Gaziantep
  • Poom Kumam Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402

DOI:

https://doi.org/10.26713/cma.v7i3.431

Keywords:

Generalized metric spaces, Expansive mapping, Fixed point

Abstract

The aim of this paper is to introduce new notion of generalized \((\alpha,\psi)\)-expansive mappings in generalized metric spaces and to study the existence of a fixed point for the mappings in this space. Our new notion complements the concept of generalized \((\alpha,\psi)\)-contractions on generalized metric spaces introduced recently by Aydi et al. (Journal of Inequalities and Applications 2014, 229 (2014)). The presented theorems extend, generalize and improve many existing results in the literature.

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References

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Kumar, M., Araci, S., & Kumam, P. (2016). Fixed Point Theorems for Generalized \((\alpha,\psi)\)-Expansive Mappings in Generalized Metric Spaces. Communications in Mathematics and Applications, 7(3), 227–240. https://doi.org/10.26713/cma.v7i3.431

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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