Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order

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Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order

and Applied Analysis 3 Let BP(A j ) be the set of best proximity points between A j andA j+1 ; ∀j ∈ p. Then, there is a sequence {z n } ⊂ BP(A j ); ∀j ∈ p such that the following limit exists:

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Common fixed points and best proximity points of two cyclic self-mappings

*Correspondence: [email protected] 1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo. 644, Bilbao, Bilbao 48080, Spain Full list of author information is available at the end of the article Abstract This paper discusses three contractive conditions for two 2-cyclic self-mappings defined on the union of two nonempty subsets of ...

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ژورنال

عنوان ژورنال: Abstract and Applied Analysis

سال: 2013

ISSN: 1085-3375,1687-0409

DOI: 10.1155/2013/968492