Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings

We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to suggest an iterative algo...

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Veröffentlicht in:	Fixed point theory and applications (Hindawi Publishing Corporation) 2011-01, Vol.2011 (1), p.635030, Article 635030
Hauptverfasser:	Ahmad, Rais, Dilshad, Mohd
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Differential Geometry Equilibrium Problems and Fixed Point Theory Mathematical and Computational Biology Mathematics Mathematics and Statistics Research Article Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to suggest an iterative algorithm for solving resolvent equations. Some examples are constructed.
ISSN:	1687-1812 1687-1820 1687-1812
DOI:	10.1155/2011/635030