On a General Contractive Condition for Cyclic Self-Mappings
This paper is concerned with 𝑝(≥2)-cyclic self-mappings 𝑇∶⋃𝑖∈𝑝𝐴𝑖→⋃𝑖∈𝑝𝐴𝑖 in a metric space (𝑋, 𝑑), with 𝐴𝑖⊂𝑋, 𝑇(𝐴𝑖)⊆𝐴𝑖+1 for 𝑖=1,2,…,𝑝, under a general contractive condition which includes as particular cases several of the existing ones in the literature. The existence and uniqueness of fixed point...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/542941 |