| Fixed points of a pair of locally contractive mappings in ordered partial metric spaces |
| Abdullah Shoaib, Muhammad Arshad and Akbar Azam |
Abstract Common fixed point results for mappings satisfying locally contractive conditions on a closed ball in a $0$-complete ordered partial metric space have been established. The notion of dominated mappings of Economics, Finance, Trade and Industry has also been applied to approximate the unique solution to non-linear functional equations. Our results improve some well-known, primary and conventional results.
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Keywords: Common fixed point; Banach mapping; closed ball; dominated mapping, $0$-complete partial metric space. |
MSC: 47H10, 46S40, 54H25 |
Pages: 26$-$38 |
Volume 67 , Issue 1 , 2015 |
