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2013•Mathematical theory and modelingRequires access

Fixed Point of Expansive Type Mapping in N-Cone Metric Space

Prabha Chouhan, Neeraj Malviya

Open publisher page 4 citations

Abstract

In this paper, we define expansive mappings in the setting of -cone metric spaces analogous to expansive mappings in metric spaces. We also obtain some results for two mappings to the setting of -cone metric space. These results extend main results of Wang et al [14] into the structure of -cone metric space. Keywords: Fixed Point, -cone metric space, Expansive mapping.

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What this paper is about

In this paper, we define expansive mappings in the setting of -cone metric spaces analogous to expansive mappings in metric spaces. We also obtain some results for two mappings to the setting of -cone metric space. These results extend main results of Wang et al [14] into the structure of -cone metric space. Keywords: Fixed Point, -cone metric space, Expansive mapping.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we define expansive mappings in the setting of -cone metric spaces analogous to expansive mappings in metric spaces. We also obtain some results for two mappings to the setting of -cone metric space. These results extend main results of Wang et al [14] into the structure of -cone metric space. Keywords: Fixed Point, -cone metric space, Expansive mapping.

Key concepts: Expansive, Metric space, Mathematics, Cone (formal languages), Convex metric space, Metric (unit), Dual cone and polar cone, Injective metric space

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