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Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces

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The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper… Click to show full abstract

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate some fixed-point theorems in modular metric spaces.

Keywords: modular metric; banach contraction; metric spaces; principle nonlinear; contraction; contraction principle

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2017

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