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Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces
National Institute of Technology, Hamirpur, India
Department of Mathematics, Ahir College, Rewari, India
National Institute of Technology, Hamirpur, India
Department of Mathematics, DCRUST, Murthal, Sonepat, India
- 1 National Institute of Technology, Hamirpur, India
- 2 Department of Mathematics, Ahir College, Rewari, India
- 3 National Institute of Technology, Hamirpur, India
- 4 Department of Mathematics, DCRUST, Murthal, Sonepat, India
Applied Mathematics·Volume 04 (2013)·Pages 1714–1719·Published 8 November 2013·DOI10.4236/am.2013.412234
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Abstract
In this paper, first , we introduce the notion of weakly compatible maps for coupled map s and t hen prove a coupled fixed point theorem under more general t -norm( H -type norm) in Menger spaces. We support our theorem by providing a suit able example. At the end, we obtain an application .
KeywordsMenger Spacesw-Compatible MapsPhi-Contractive Conditions
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