On the semi-inner product in locally convex spaces.

Chang, Shihsen; Chen, Yuqing; Lee, Byung Soo

Displaying similar documents to “On the semi-inner product in locally convex spaces.”

On the use of semi-closed sets and functions in convex analysis

Constantin Zălinescu (2015)

Open Mathematics

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The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.

Lasry-Lions regularization and a lemma of Ilmanen

Patrick Bernard (2010)

Rendiconti del Seminario Matematico della Università di Padova

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An existence theorem for extended mildly nonlinear complementarity problem in semi-inner product spaces

M. S. Khan (1995)

Commentationes Mathematicae Universitatis Carolinae

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We prove a result for the existence and uniqueness of the solution for a class of mildly nonlinear complementarity problem in a uniformly convex and strongly smooth Banach space equipped with a semi-inner product. We also get an extension of a nonlinear complementarity problem over an infinite dimensional space. Our last results deal with the existence of a solution of mildly nonlinear complementarity problem in a reflexive Banach space.