Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1971-05-01 and is currently open access. It has received 103 citations till now.read more
Citations
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Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients
TL;DR: In this article, the authors studied the Variational boundary value problem for quasilinear elliptic systems in divergence form and derived several existence theorems which generalize the basic results of Browder and Leray-Lions.
Book
Convex Functions: Constructions, Characterizations and Counterexamples
TL;DR: Convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied as mentioned in this paper, and is an important tool in optimization, mathematical programming and game theory.
Maximal Monotonicity via Convex Analysis
TL;DR: In this paper, the authors consider the problem of finding a maximal monotone subdifferential of a convex lower semicontinuous function on a Banach space, where each subgradient of the function at a given point in the convex function is a subgradient at the point in which the indicator function ιC(x) ∈ ∂f(x), which is zero for x in C and + ∞ for x ∈ X ∈ C.
Dissertation
Projection algorithms and monotone operators
TL;DR: In this article, projection algorithms for solving convex feasibility problems in Hilbert space are studied and powerful techniques from Convex Analysis are employed within a very general framework that covers and extends many well-known results.
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Fifty years of maximal monotonicity
TL;DR: The history of the subject is surveyed and why maximal monotone operators are both interesting and important is explained, with a description of the remarkable progress made during the past decade.
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Proximité et dualité dans un espace hilbertien
TL;DR: In this article, the authors implique l'accord avec les conditions générales d'utilisation ( http://www.numdam.org/legal.html) and declare that every copie ou impression de ce fichier doit contenir la présente mention de copyright.
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On the maximality of sums of nonlinear monotone operators
TL;DR: In this article, it was shown that for any two monotone operators Tx and T2 from X to X*, the operator F», + T2 is again monotonous.