Employing weak $\psi-\varphi$ Contraction in Common Coupled Fixed Point Results for Hybrid Pairs of Mappings Satisfying (EA) Property


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Authors

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

Keywords:

Coupled fixed point, coupled coincidence point, weak $\psi -\varphi $ contraction, $w-$compatibility, $F-$weakly commutativity

Abstract

We establish some common coupled fixed point theorems for two hybrid pairs of mappings under weak $\psi -\varphi$ contraction on a non complete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our results.

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Published

30-12-2015

How to Cite

Bhavana Deshpande, Amrish Handa, & Chetna Kothari. (2015). Employing weak $\psi-\varphi$ Contraction in Common Coupled Fixed Point Results for Hybrid Pairs of Mappings Satisfying (EA) Property. International Journal of Mathematics And Its Applications, 3(4 - F), 29–44. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/531

Issue

Vol. 3 No. 4 - F (2015)

Section

Research Article

License

Creative Commons License

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