Coincidence Point Theorem Under Mizoguchi-Takahashi Contraction on Ordered Metric Spaces With Application


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Authors

  • Bhavana Deshpande Department of Mathematics, Government P. G. Arts and Science College, Ratlam (M.P.), India
  • Amrish Handa Department of Mathematics, Government P. G. Arts and Science College, Ratlam (M.P.), India
  • Chetna kothari Department of Mathematics, Government P. G. College, Jaora (M. P.), India

Keywords:

Coincidence point, coupled coincidence point, generalized Mizoguchi-Takahashi contraction,, ordered metric space, O-compatible, generalized compatibility, $g$-non-decreasing mapping, mixed monotone mapping

Abstract

We construct coincidence point result for $g$-non-decreasing mappings satisfying Mizoguchi-Takahashi contraction on ordered metric spaces. By using our result, we formulate a coupled coincidence point result for generalized compatible pair of mappings $F,$ $G:X^{2}\rightarrow X.$ We give an example and an application to integral equation to show the usefulness of the obtained results. Our results generalize, modify, improve and sharpen several well-known results.

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Published

01-12-2015

How to Cite

Bhavana Deshpande, Amrish Handa, & Chetna kothari. (2015). Coincidence Point Theorem Under Mizoguchi-Takahashi Contraction on Ordered Metric Spaces With Application. International Journal of Mathematics And Its Applications, 3(4 - A), 75–94. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/487

Issue

Vol. 3 No. 4 - A (2015)

Section

Research Article

License

Creative Commons License

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