Fixed points of a pair of locally contractive mappings in ordered partial metric spaces

Authors

  • Abdullah Shoaib Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan Author
  • Muhammad Arshad Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan Author
  • Akbar Azam Department of Mathematics COMSATS Institute of InformationTechnology, Chack Shahzad, Islamabad - 44000, Pakistan Author

Keywords:

Common fixed point, Banach mapping, closed ball, dominated mapping, $0$-complete partial metric space

Subjects:

47H10, 46S40, 54H25

Abstract

Common fixed point results for mappingssatisfying locally contractive conditions on a closed ball in a $0$-completeordered partial metric space have been established. The notion of dominatedmappings of Economics, Finance, Trade and Industry has also been applied toapproximate the unique solution to non-linear functional equations. Ourresults improve some well-known, primary and conventional results.

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Published

2015-01-15

Issue

Vol. 67 No. 1 (2015): Vol. 67, Issue 1

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

Creative Commons License

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