Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces

Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces

In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-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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Veröffentlicht in:Abstract and applied analysis 2018, Vol.2018 (2018), p.1-8
Hauptverfasser: Chaira, Karim, Lazaiz, Samih
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Modular structures
Theorems
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Zusammenfassung:In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2018/8084712