Journal of Function Spaces (Jan 2018)

Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces

  • Dingwei Zheng

DOI
https://doi.org/10.1155/2018/1418725
Journal volume & issue
Vol. 2018

Abstract

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We introduce the notion of generalized θ-ϕ contraction and establish some new fixed point theorems for this contraction in the setting of complete G-metric spaces. The results presented in the paper improve, extend, and unify some known results. Finally, we give an example to illustrate them.