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- W1998840341 abstract "By using the notion of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$J^eta$ id=E1><mml:msup><mml:mi>J</mml:mi><mml:mi>η</mml:mi></mml:msup></mml:math>-proximal mapping for a nonconvex, lower semicontinuous,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=$eta$ id=E2><mml:mi>η</mml:mi></mml:math>-subdifferentiable proper functional in reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of Wiener-Hopf equations. We propose two new iterative algorithms for the class of generalized set-valued variational-like inclusions. Furthermore, we prove the existence of solutions of the generalized set-valued variational-like inclusions and the convergence criteria of the two iterative algorithms for the generalized set-valued variational-like inclusions in reflexive Banach spaces. The results presented in this paper are new and are an extension of the corresponding results in this direction." @default.
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- W1998840341 date "2005-01-01" @default.
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- W1998840341 title "Generalized set-valued variational-like inclusions and Wiener-Hopf equations in Banach spaces" @default.
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- W1998840341 doi "https://doi.org/10.1155/ijmms.2005.3645" @default.
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