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

  • 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

Published
2015-05-04
Section
Articoli