Samet, B. (2010) Coupled Fixed Point Theorems for a Generalized Meir-Keeler Contraction in Partially Ordered Metric Spaces. Nonlinear Analysis, 72, 4508-4517.
https://doi.org/10.1016/j.na.2010.02.026

has been cited by the following article:

• TITLE: N-Order Fixed Point Theory for N-Order Generalized Meir-Keeler Type Contraction in Partially Ordered Metric Spaces

  AUTHORS: Shiyun Wang, Jingwen Zhang

  KEYWORDS: Tripled Fixed Point, Meir-Keeler Type Contraction, Partially Ordered Set, N-Order Fixed Point

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 29, 2019

  ABSTRACT: This paper concerns N-order fixed point theory in partially ordered metric spaces. For the sake of simplicity, we start our investigations with the tripled case. We define tripled generalized Meir-Keeler type contraction which extends the definition of [Bessem Samet, Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal. 72 (2010), 4508-4517]. We then discuss the existence and uniqueness of tripled fixed point theorems in partially ordered metric spaces. For general cases, we generalized our results to the N-order case. The results will promote the study of N-order fixed point theory.