Common Coupled Fixed Point Theorems for Geraghty - Type Contraction Mappings Using Monotone Property in Partially Ordered Partial b-Metric Spaces
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
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Research Paper | Mathematics | India | Volume 4 Issue 6, June 2015

Common Coupled Fixed Point Theorems for Geraghty - Type Contraction Mappings Using Monotone Property in Partially Ordered Partial b-Metric Spaces

K. P. R. Sastry, K. K. M. Sarma, Ch. Srinivasa Rao, Vedula Perraju

In this paper, we prove common coupled fixed point theorems for Geraghty - type contraction mappings using monotone property in partially ordered partial b - metric spaces. We also to study the existence and uniqueness of coupled fixed points using monotone property instead of the often used mixed monotone property. Supporting example is also provided. An open problem is given at the end of the paper.

Keywords: Coupled fixed point, mixed monotone property, monotone property, partial b - metric, complete partially ordered partial b - metric space, Geraghty - type contraction

Edition: Volume 4 Issue 6, June 2015

Pages: 777 - 787

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How to Cite this Article?

K. P. R. Sastry, K. K. M. Sarma, Ch. Srinivasa Rao, Vedula Perraju, "Common Coupled Fixed Point Theorems for Geraghty - Type Contraction Mappings Using Monotone Property in Partially Ordered Partial b-Metric Spaces", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=SUB155344, Volume 4 Issue 6, June 2015, 777 - 787

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