Serdica Mathematical Journal

Volume 22, Number 3, 1996




C O N T E N T S


A B S T R A C T S


SOMME PONCTUELLE D'OPERATEURS MAXIMAUX MONOTONES
Attouch, A., H. Riahi and M. Thera.

1991 Mathematics Subject Classification: 47H05, 54A20, 54C60; 26B25, 46B10.
Key words: operateur maximal monotone, convergence au sens des graphes, convergence au sens de Mosco, condition de Brezis-Crandall and Pazy.


EPICONVERGENCE D'UNE SUITE DE SOMMES EN NIVEAUX DE FONCTIONS CONVEXES
Traore S., M. Volle.

1991 Mathematics Subject Classification: 52A41, 90C25, 90C31.
Key words: variational convergence, convex duality, sensitivity analysis


STABILITY OF SUPPORTING AND EXPOSING ELEMENTS OF CONVEX SETS IN BANACH SPACES
Aze D., R. Lucchetti.

1991 Mathematics Subject Classification: 54A20, 52A40, 52A05; 46B20.
Key words: convex sets, convex functions, supported and exposed points, slice topology, Attouch-Wets topology, convex optimization


STABILITY OF THE ITERATION METHOD FOR NON EXPANSIVE MAPPINGS
Lemaire B.

1991 Mathematics Subject Classification: 65K10, 49M07, 90C25
Key words: convex minimization, convergence, iteration method, gradient method, monotone inclusions, prox method, stability.


SPECULATING ABOUT MOUNTAINS
Ribarska N. K., Ts. Y. Tsachev, M. I. Krastanov.

1991 Mathematics Subject Classification: 58E05.
Key words: upper semicontinuous multivalued mappings with compact images, deformation lemma, mountain pass theorem.


SUBDIFFERENTIALS OF PERFORMANCE FUNCTIONS AND CALCULUS OF CODERIVATIVES OF SET-VALUED MAPPINGS
Ioffe A. D., Jean-Paul Penot.

1991 Mathematics Subject Classification: 49J52; 49J50, 58C20.
Key words: set-valued mapping, lower semicontinuous function, subdifferential, normal cone, coderivative, marginal function.


UNIFORM CONVERGENCE OF THE NEWTON METHOD FOR AUBIN CONTINUOUS MAPS
Dontchev A. L.

1991 Mathematics Subject Classification: 90C30, 47H04, 49M37, 65K10.
Key words: generalized equation, Newton's method, sequential quadratic programming.


ON A VARIATIONAL APPROACH TO SOME QUASILINEAR PROBLEMS
Canino A.

1991 Mathematics Subject Classification: 35J65
Key words: quasilinear elliptic problems, nonsmooth critical point theory.


PERTURBATIONS OF CRITICAL VALUES IN NONSMOOTH CRITICAL POINT THEORY
Degiovanni M., S. Lancelotti.

1991 Mathematics Subject Classification: 58E05, 35J85.
Key words: nonsmooth critical point theory, perturbation problems, variational convergence, elliptic variational inequatilies.


NONTRIVIAL SOLUTIONS OF QUASILINEAR EQUATIONS IN BV
Marzocchi M.

1991 Mathematics Subject Classification: 58E05, 35J65.
Key words: nonsmooth critical point theory, quasilinear equations, area functional.


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