Research Journal of Science and Technology

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Coupled Fixed Point of Set Valued Mapping in Partially Ordered G-Metric Space


Affiliations
1 Department of Mathematics, National Institute of Technology, Hamirpur - 177005, India
     

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In this manuscript, we obtain sufficient condition for the existence of a coupled fixed point of a mixed monotone set-valued bivariate self map F, i.e. F : X × X → X in partially ordered complete G-metric space.

Keywords

Coupled Fixed Point, G-metric Space, Set-valued Maps, Partially Ordered Set.
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  • Coupled Fixed Point of Set Valued Mapping in Partially Ordered G-Metric Space

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Authors

Ramesh Kumar Vats
Department of Mathematics, National Institute of Technology, Hamirpur - 177005, India
Amit Kumar
Department of Mathematics, National Institute of Technology, Hamirpur - 177005, India
J. Ravinder
Department of Mathematics, National Institute of Technology, Hamirpur - 177005, India

Abstract


In this manuscript, we obtain sufficient condition for the existence of a coupled fixed point of a mixed monotone set-valued bivariate self map F, i.e. F : X × X → X in partially ordered complete G-metric space.

Keywords


Coupled Fixed Point, G-metric Space, Set-valued Maps, Partially Ordered Set.

References