One-Local Retract and Common Fixed Point in Modular Metric Spaces
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 introduced and study the concept of one-local retract in modular metric space. In particular, we...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/672069 |
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| Summary: | 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 introduced and
study the concept of one-local retract in modular metric space. In particular,
we investigate the existence of common fixed points of modular nonexpansive
mappings defined on nonempty -closed -bounded subset of modular metric
space. |
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| ISSN: | 1085-3375 1687-0409 |