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.

Downloads

Download data is not yet available.
Abstract
35
PDF
33

Downloads

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

Vol. 9 No. 2 (2013)

Section

Original Research Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.