Generalized Mizoguchi-Takahashi contraction in consideration of common tripled fixed point theorem for hybrid pair of mappings

Bhavana Deshpande; Amrish Handa

doi:10.26637/mjm301/012

Abstract

We establish a common tripled fixed point theorem for hybrid pair of mappings under generalized Mizoguchi-Takahashi contraction. It is to be noted that to find tripled coincidence point, we do not employ the condition of continuity of any mapping involved therein. An example is also given to validate our result. We improve, extend and generalize several known results.

Keywords:

Mizoguchi-Takahashi contraction, fixed point theorem

Mathematics Subject Classification:

34G20

Authors Imprint References Funding Related Articles Downloads

Bhavana Deshpande Department of Mathematics, Government P. G. Arts & Science College, Ratlam-457001, India.
Amrish Handa Department of Mathematics, Government P. G. Arts & Science College, Ratlam-457001, India.

Pages: 119-130
Date Published: 01-01-2015
Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)

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