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Best proximity pair and fixed point results for noncyclic mappings in modular spaces
- Source :
- Arab Journal of Mathematical Sciences, Vol 24, Iss 2, Pp 147-165 (2018)
- Publication Year :
- 2018
- Publisher :
- Emerald Publishing, 2018.
-
Abstract
- In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets. As a companion result, we establish a best proximity pair theorem for pointwise noncyclic contractions in modular spaces. To that end, we provide some examples throughout the paper to illustrate the validity of the obtained results. Keywords: Best proximity pair, Modular spaces, Relatively ρ-nonexpansive mappings, ρ-admissible sets, ρ-normal structure, Mathematics Subject Classification: 47H09, 41A65
Details
- Language :
- English
- ISSN :
- 13195166
- Volume :
- 24
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Arab Journal of Mathematical Sciences
- Accession number :
- edsair.doi.dedup.....bffafddb4bc39e54d85148d5325a0cf3