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Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces - MaRDI portal

Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces (Q1728539)

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scientific article; zbMATH DE number 7029295
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Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces
scientific article; zbMATH DE number 7029295

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    Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces (English)
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    25 February 2019
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    Summary: In this paper we introduce the notion of proximal \(\rho\)-normal structure of pair of \(\rho\)-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn's lemma. We provide some examples to support our conclusions.
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