Coupled Coincidence Point and Coupled Fixed Point Theorems for Weak Generalized Meir-Keeler Type Contractions in Ordered Partial Metric Spaces

Authors

  • K.P.R. Rao Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar -522 510, A.P., India
  • K.R.K. Rao Department of Mathematics, Vignana Bharathi Institute of Technology , Aushapur(V) , Ghatkesar(M) , Hyderabad–501 301, A.P., India.

DOI:

https://doi.org/10.3126/kuset.v9i2.63728

Keywords:

Order partial metric, Weak generalized Meir-Keeler contractions, Coupled fixed point

Abstract

In this paper we introduce weak generalized Meir-Keeler contractions and prove some coupled fixed point theorems for two mappings  F: X x X ->X and  g: X ->X on a partially ordered partial metric space. Our results generalize some recent results in the literature, for example, the results of Thabet Abdeljawad et.al [1] and Ali Erduran et.al [3]. Also, we give some illustrative examples.

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Published

2013-12-30

How to Cite

Rao, K., & Rao, K. (2013). Coupled Coincidence Point and Coupled Fixed Point Theorems for Weak Generalized Meir-Keeler Type Contractions in Ordered Partial Metric Spaces. Kathmandu University Journal of Science, Engineering and Technology, 9(2), 80–93. https://doi.org/10.3126/kuset.v9i2.63728

Issue

Section

Original Research Articles