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Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings
Journal article   Open access  Peer reviewed

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

Rais Ahmad and Mohd Dilshad
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2011(1), pp.1-13
01/01/2011
DOI: https://doi.org/10.1155/2011/635030

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1155/2011/635030View
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