Quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction

Authors

  • Bhavana Deshpande Govt. P. G. Arts and Science College, Ratlam (MP), India
  • Amrish Handa Govt. P. G. Arts and Science College, Ratlam (MP), India

Keywords:

Quadruple fixed point, quadruple coincidence point, generalized nonlinear contraction, w-compatibility, F-weakly commutativity

Abstract

We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction on a noncomplete metric space which is not partially ordered. It is to be noted that to find quadruple coincidence point, we do not employ the condition of continuity of any mapping involved therein. We also give an example to validate our result. We improve, extend and generalize various known results.

Author Biography

  • Bhavana Deshpande, Govt. P. G. Arts and Science College, Ratlam (MP), India

    Professor

    Department of Mathematics

    Govt. Arts and Science College, Ratlam (MP), India

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Published

2015-05-04

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Section

Articoli