Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative

[1]  B. Svaiter,et al.  Monotone Operators Representable by l.s.c. Convex Functions , 2005 .

[2]  Heinz H. Bauschke,et al.  A new proximal point iteration that converges weakly but not in norm , 2005 .

[3]  Jean-Paul Penot,et al.  The relevance of convex analysis for the study of monotonicity , 2004 .

[4]  C. Zalinescu,et al.  A new proof for Rockafellar’s characterization of maximal monotone operators , 2004 .

[5]  Hein Hundal An alternating projection that does not converge in norm , 2004 .

[6]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[7]  Heinz H. Bauschke,et al.  Projection and proximal point methods: convergence results and counterexamples , 2004 .

[8]  Regina Sandra Burachik,et al.  MAXIMAL MONOTONICITY, CONJUGATION AND THE DUALITY PRODUCT , 2003, 0802.1654.

[9]  Benar Fux Svaiter,et al.  Maximal Monotone Operators, Convex Functions and a Special Family of Enlargements , 2002 .

[10]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[11]  Adrian S. Lewis,et al.  Convex Analysis And Nonlinear Optimization , 2000 .

[12]  Heinz H. Bauschke,et al.  Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators , 1999 .

[13]  Osman Güer On the convergence of the proximal point algorithm for convex minimization , 1991 .

[14]  J. Borwein,et al.  On supportless convex sets , 1985 .

[15]  S. Reich,et al.  Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings , 1984 .

[16]  Simeon Reich,et al.  A limit theorem for projections , 1983 .

[17]  Jonathan M. Borwein,et al.  A NOTE ON "-SUBGRADIENTS AND MAXIMAL MONOTONICITY , 1982 .

[18]  H. Brezis,et al.  Produits infinis de resolvantes , 1978 .

[19]  Simeon Reich,et al.  Extension problems for accretive sets in Banach spaces , 1977 .

[20]  R. Rockafellar Monotone Operators and the Proximal Point Algorithm , 1976 .

[21]  R. Holmes Geometric Functional Analysis and Its Applications , 1975 .

[22]  M. Crandall,et al.  A theorem and a counterexample in the theory of semigroups of nonlinear transformations , 1971 .

[23]  Jean-Pierre Gossez,et al.  Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs , 1971 .

[24]  R. Rockafellar,et al.  On the maximal monotonicity of subdifferential mappings. , 1970 .

[25]  R. Phelps Weak* support points of convex sets inE* , 1964 .

[26]  G. Minty Monotone (nonlinear) operators in Hilbert space , 1962 .

[27]  J. Neumann On Rings of Operators. Reduction Theory , 1949 .

[28]  Alfredo N. Iusem,et al.  Maximal Monotone Operators , 2008 .

[29]  J. Borwein Maximal Monotonicity via Convex Analysis , 2006 .

[30]  R. Burachik,et al.  On a Family of Convex Functions associated to Subdifferentials , 2005 .

[31]  Hristo S. Sendov,et al.  Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick , 2005 .

[32]  S. Simons FENCHEL DUALITY, FITZPATRICK FUNCTIONS AND MAXIMAL MONOTONICITY , 2004 .

[33]  Juan Enrique Martínez-Legaz,et al.  A CONVEX REPRESENTATION OF MAXIMAL MONOTONE OPERATORS , 2003 .

[34]  C. Zălinescu Convex analysis in general vector spaces , 2002 .

[35]  Max L. Warshauer,et al.  Lecture Notes in Mathematics , 2001 .

[36]  S. Simons Minimax and monotonicity , 1998 .

[37]  S. Fitzpatrick Representing monotone operators by convex functions , 1988 .

[38]  H. Brezis Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .

[39]  D. Varberg Convex Functions , 1973 .

[40]  R. Rockafellar On the maximality of sums of nonlinear monotone operators , 1970 .

[41]  P. Porcelli,et al.  On rings of operators , 1967 .

[42]  J. Moreau Proximité et dualité dans un espace hilbertien , 1965 .

[43]  F. Murray On Rings of Operators , 1936 .

[44]  M. Fabian,et al.  Uniform Convexity of , 2022 .