Edit Profile (opens in new tab) Beer, Gerald Alan Compute Distance To: Compute Author ID: beer.gerald-a Published as: Beer, Gerald; Beer, G.; Beer, Gerald A.; Beer, G. A. more...less External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 156 Publications since 1972, including 2 Books Reviewing Activity: 5 Reviews Co-Authors: 42 Co-Authors with 68 Joint Publications 979 Co-Co-Authors all top 5 Co-Authors 87 single-authored 10 Levi, Sandro 6 Garrido, María Isabel 6 Roberto, Lucchetti E. 5 Attouch, Hedy 5 Naimpally, Somashekhar Amrith 4 Costantini, Camillo 4 Villar, Luzviminda 3 Di Concilio, Anna 3 Di Maio, Giuseppe 3 Pai, Devidas V. 3 Rodríguez-López, Jesús 3 Tamaki, Robert K. 2 Bloomfield, Colin 2 Borwein, Jonathan Michael 2 Cánovas, María Josefa 2 Hoffman, Michael J. 2 Kenderov, Petar Stojanov 2 López-Cerdá, Marco Antonio 2 Parra, Juan 2 Vanderwerff, Jon D. 1 Azé, Dominique 1 Barbati, Alberto 1 Cao, Jiling 1 Caserta, Agata 1 Ceniceros, Jose 1 Dontchev, Asen L. 1 García-Lirola, Luis Carlos 1 Hess, Christian 1 Himmelberg, C. J. 1 Klee, Victor LaRue 1 Lechicki, Alojzy 1 Maio, G. Di 1 Meroño, Ana Soledad 1 Pareek, Chandra Mohan 1 Peters, James Francis III 1 Prikry, Karel 1 Robinson, Grant 1 Rockafellar, Ralph Tyrrell 1 Théra, Michel A. 1 van Vleck, Fred Scott 1 Vipera, Maria Cristina 1 Wets, Roger Jean-Baptiste all top 5 Serials 17 Proceedings of the American Mathematical Society 11 Journal of Mathematical Analysis and Applications 7 Bulletin of the Australian Mathematical Society 7 Journal of Convex Analysis 6 Pacific Journal of Mathematics 6 Set-Valued Analysis 5 Canadian Mathematical Bulletin 5 Journal of Approximation Theory 5 Topology and its Applications 5 Set-Valued and Variational Analysis 4 Houston Journal of Mathematics 4 Archiv der Mathematik 4 Transactions of the American Mathematical Society 4 Séminaire d’Analyse Convexe 4 Nonlinear Analysis. Theory, Methods & Applications 3 American Mathematical Monthly 3 Michigan Mathematical Journal 3 Numerical Functional Analysis and Optimization 3 Real Analysis Exchange 2 Rocky Mountain Journal of Mathematics 2 Commentationes Mathematicae Universitatis Carolinae 2 Journal of Optimization Theory and Applications 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Acta Mathematica Hungarica 2 Mathematica Balkanica. New Series 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Mathematical Programming. Series A. Series B 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Vietnam Journal of Mathematics 2 Applied General Topology 1 Israel Journal of Mathematics 1 Mathematics Magazine 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics of Operations Research 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ricerche di Matematica 1 Southeast Asian Bulletin of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Optimization 1 Serdica 1 New Zealand Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Pacific Journal of Optimization 1 Mathematics and its Applications (Dordrecht) 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 113 General topology (54-XX) 48 Functional analysis (46-XX) 27 Real functions (26-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 16 Convex and discrete geometry (52-XX) 14 Approximations and expansions (41-XX) 10 Measure and integration (28-XX) 8 Sequences, series, summability (40-XX) 6 Operations research, mathematical programming (90-XX) 5 Operator theory (47-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,803 times in 854 Documents Cited by ▼ Year ▼ Topologies on closed and closed convex sets. Zbl 0792.54008Beer, Gerald 424 1993 Convex optimization and the epi-distance topology. Zbl 0681.46013Beer, Gerald; Lucchetti, Roberto 45 1991 Distance functionals and suprema of hyperspace topologies. Zbl 0774.54004Beer, Gerald; Lechicki, Alojzy; Levi, Sandro; Naimpally, Somashekhar 45 1992 Strong uniform continuity. Zbl 1161.54003Beer, Gerald; Levi, Sandro 45 2009 On Mosco convergence of convex sets. Zbl 0669.52002Beer, Gerald 44 1988 Wijsman convergence: A survey. Zbl 0812.54014Beer, Gerald 37 1994 Metric spaces on which continuous functions are uniformly continuous and Hausdorff distance. Zbl 0594.54007Beer, Gerald 36 1985 Conjugate convex functions and the epi-distance topology. Zbl 0681.46014Beer, Gerald 36 1990 On convergence of closed sets in a metric space and distance functions. Zbl 0558.54007Beer, Gerald 34 1985 The epi-distance topology: Continuity and stability results with applications to convex optimization problems. Zbl 0767.49011Beer, Gerald; Lucchetti, Roberto 34 1992 A Polish topology for the closed subsets of a Polish space. Zbl 0776.54011Beer, Gerald 32 1991 Weak topologies for the closed subsets of a metrizable space. Zbl 0810.54011Beer, Gerald; Lucchetti, Roberto 32 1993 Uniform continuity on bounded sets and the Attouch-Wets topology. Zbl 0677.54007Beer, Gerald; Di Concilio, Anna 29 1991 More about metric spaces on which continuous functions are uniformly continuous. Zbl 0573.54026Beer, Gerald 28 1986 Convergence of continuous linear functionals and their level sets. Zbl 0662.46015Beer, Gerald 28 1989 Metric spaces with nice closed balls and distance functions for closed sets. Zbl 0588.54014Beer, Gerald 27 1987 Support and distance functionals for convex sets. Zbl 0696.46010Beer, Gerald 26 1989 Total boundedness and bornologies. Zbl 1167.54008Beer, Gerald; Levi, Sandro 24 2009 The slice topology: A viable alternative to Mosco convergence in nonreflexive spaces. Zbl 0786.46006Beer, Gerald 24 1992 Mosco convergence and reflexivity. Zbl 0763.46006Beer, Gerald; Borwein, Jonathan M. 23 1990 Between compactness and completeness. Zbl 1169.54012Beer, Gerald 22 2008 A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. 22 1992 On convergence of convex sets and relative Chebyshev centers. Zbl 0733.41030Beer, Gerald; Pai, Devidas 21 1990 On the Young-Fenchel transform for convex functions. Zbl 0691.46006Beer, Gerald 20 1988 On the Fell topology. Zbl 0810.54010Beer, Gerald 20 1993 On the convergence of subdifferentials of convex functions. Zbl 0778.49018Attouch, Hedy; Beer, Gerald 19 1993 Bornologies and locally Lipschitz functions. Zbl 1318.26004Beer, Gerald; Garrido, M. I. 19 2014 The locally finite topology on \(2^ X\). Zbl 0625.54013Beer, G. A.; Himmelberg, C. J.; Prikry, K.; Van Vleck, F. S. 17 1987 Locally Lipschitz functions, cofinal completeness, and UC spaces. Zbl 1341.46018Beer, Gerald; Garrido, M. Isabel 17 2015 On metric boundedness structures. Zbl 0951.54025Beer, Gerald 16 1999 Pseudometrizable bornological convergence is Attouch-Wets convergence. Zbl 1173.54002Beer, Gerald; Levi, Sandro 16 2008 Wijsman convergence of convex sets under renorming. Zbl 0815.46010Beer, Gerald 15 1994 UC spaces revisited. Zbl 0656.54022Beer, Gerald 14 1988 \(\mathcal S\)-topologies and bounded convergences. Zbl 1143.54006Beer, Gerald; Naimpally, Som; Rodríguez-López, Jesús 14 2008 On a generic optimization theorem of Petar Kenderov. Zbl 0686.90042Beer, Gerald 14 1988 Uniform continuity, uniform convergence, and shields. Zbl 1236.54012Beer, Gerald; Levi, Sandro 14 2010 On some inverse stability problems for the epigraphical sum. Zbl 0743.49005Attouch, H.; Azé, D.; Beer, G. 13 1991 On hit-and-miss hyperspace topologies. Zbl 0787.54013Beer, Gerald; Tamaki, Robert K. 13 1993 Topologies on closed and closed convex sets and the Effros measurability of set valued functions. Zbl 0824.46089Beer, Gerald 13 1991 Bornological convergence and shields. Zbl 1275.54003Beer, Gerald; Costantini, Camillo; Levi, Sandro 12 2013 More on convergence of continuous functions and topological convergence of sets. Zbl 0542.54009Beer, Gerald 12 1985 Proximal maps, prox maps and coincidence points. Zbl 0726.41035Beer, Gerald; Pai, Devidas 11 1990 Well-posed optimization problems and a new topology for the closed subsets of a metric space. Zbl 0812.54015Beer, Gerald; Lucchetti, Roberto 11 1993 Mosco and slice convergence of level sets and graphs of linear functionals. Zbl 0781.46016Beer, Gerald; Borwein, Jonathan M. 11 1993 The approximation of upper semicontinuous multifunctions by step multifunctions. Zbl 0442.54014Beer, Gerald 10 1980 Mosco convergence and weak topologies for convex sets and functions. Zbl 0762.46005Beer, Gerald 10 1991 A generalization of boundedly compact metric spaces. Zbl 0766.54028Beer, Gerald; Di Concilio, Anna 9 1991 On the uniform approximation of Cauchy continuous functions. Zbl 1342.41038Beer, Gerald; Garrido, M. Isabel 9 2016 The Prox map. Zbl 0681.46016Beer, Gerald; Pai, Devidas 9 1991 The infimal value functional and the uniformization of hit-and-miss hyperspace topologies. Zbl 0824.54003Beer, Gerald; Tamaki, Robert 9 1994 Embeddings of bornological universes. Zbl 1171.54012Beer, Gerald 9 2008 Uniform continuity and a new bornology for a metric space. Zbl 1422.54019Beer, Gerald; Garrido, M. Isabel; Meroño, Ana S. 9 2018 On a theorem of Cellina for set valued functions. Zbl 0648.54015Beer, Gerald 9 1988 The Lipschitz metric for real-valued continuous functions. Zbl 1309.26003Beer, Gerald; Hoffman, Michael J. 9 2013 The Alexandroff property and the preservation of strong uniform continuity. Zbl 1252.54004Beer, Gerald 9 2010 Limits of starshaped sets. Zbl 0603.46014Beer, Gerald; Klee, Victor 8 1987 Upper semicontinuous functions and the Stone approximation theorem. Zbl 0483.41028Beer, Gerald 8 1982 An embedding theorem for the Fell topology. Zbl 0659.54008Beer, Gerald 8 1988 On the arg min multifunction for lower semicontinuous functions. Zbl 0731.49009Beer, Gerald; Kenderov, Petar 8 1988 Gap, excess and bornological convergence. Zbl 1165.54002Beer, Gerald; Levi, Sandro 8 2008 The structure of extended real-valued metric spaces. Zbl 1287.54025Beer, Gerald 8 2013 On convergence to infinity. Zbl 0995.54018Beer, Gerald 7 2000 On a theorem of Deutsch and Kenderov. Zbl 0608.41021Beer, Gerald 7 1985 The bornology of cofinally complete subsets. Zbl 1265.54115Beer, G.; Maio, G. Di 7 2012 Attouch-Wets convergence and a differential operator for convex functions. Zbl 0815.52010Beer, Gerald; Théra, Michel 7 1994 Cofinal completeness of the Hausdorff metric topology. Zbl 1198.54033Beer, Gerald; Di Maio, Giuseppe 6 2010 Three characterizations of the Mosco topology for convex functions. Zbl 0681.46012Beer, Gerald 6 1990 Convergence of epigraphs and of sublevel sets. Zbl 0797.49023Beer, Gerald; Lucchetti, Roberto 6 1993 Starshaped sets and the Hausdorff metric. Zbl 0327.52004Beer, Gerald A. 6 1975 The Hausdorff metric and convergence in measure. Zbl 0287.28012Beer, Gerald A. 6 1974 Metric projections and the Fell topology. Zbl 0762.54018Beer, Gerald 5 1989 On uniform convergence of continuous functions and topological convergence of sets. Zbl 0488.54007Beer, Gerald 5 1983 Structural properties of extended normed spaces. Zbl 1342.46005Beer, G.; Vanderwerff, J. 5 2015 Lipschitz regularization and the convergence of convex functions. Zbl 0817.49018Beer, Gerald 5 1994 The slice topology: A viable alternative to Mosco convergence in nonreflexive spaces. Zbl 0853.54013Beer, Gerald 5 1991 Norms with infinite values. Zbl 1332.46017Beer, Gerald 5 2015 Total boundedness in metrizable spaces. Zbl 1235.54014Beer, Gerald; Costantini, Camillo; Levi, Sandro 4 2011 Uniform continuity of a product of real functions. Zbl 1254.26004Beer, G.; Naimpally, S. 4 2012 Well-posedness, bornologies, and the structure of metric spaces. Zbl 1209.54016Beer, G.; Segura, M. 4 2009 Operator topologies and graph convergence. Zbl 1194.47091Beer, Gerald 4 2009 The approximation of real functions in the Hausdorff metric. Zbl 0542.54010Beer, Gerald 4 1984 Borel measures and Hausdorff distance. Zbl 0665.28009Beer, Gerald; Villar, Luzviminda 4 1988 Continuity properties of the visibility function. Zbl 0274.52010Beer, Gerald 4 1973 The weak Ekeland variational principle and fixed points. Zbl 1285.49011Beer, Gerald; Dontchev, Asen L. 4 2014 The index of convexity and the visibility function. Zbl 0262.52005Beer, Gerald 4 1973 Graphical convergence of continuous functions. Zbl 1299.54032Beer, G.; Naimpally, S. 4 2013 Stability of Lipschitz-type functions under pointwise product and reciprocation. Zbl 1459.54019Beer, Gerald; García-Lirola, Luis C.; Garrido, M. Isabel 4 2020 On the compactness theorem for sequences of closed sets. Zbl 1050.54005Beer, Gerald 3 2002 Hausdorff distance and a compactness criterion for continuous functions. Zbl 0606.54014Beer, Gerald 3 1986 Between the cofinally complete spaces and the UC spaces. Zbl 1266.54071Beer, Gerald 3 2012 Approximate selections for upper semicontinuous convex valued multifunctions. Zbl 0536.41039Beer, Gerald 3 1983 Epiconvergence and Baire category. Zbl 0672.54016Beer, Gerald; Kenderov, Petar 3 1989 On functions that approximate relations. Zbl 0524.54015Beer, Gerald 3 1983 Infima of convex functions. Zbl 0677.49013Beer, Gerald 3 1989 Stability of the geometric Ekeland variational principle: Convex case. Zbl 0812.49014Attouch, H.; Beer, G. 3 1994 A note on epi-convergence. Zbl 0846.54008Beer, Gerald 3 1994 On the convergence of subdifferentials of convex functions. Zbl 0901.49013Attouch, Hédy; Beer, Gerald 3 1991 Separation of convex sets in extended normed spaces. Zbl 1337.46006Beer, G.; Vanderwerff, J. 3 2015 Semicontinuous limits of nets of continuous functions. Zbl 1285.26003Beer, Gerald 3 2013 Recession cones of nonconvex sets and increasing functions. Zbl 0399.52002Beer, Gerald 3 1979 Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric. Zbl 1477.90108Beer, G.; Cánovas, M. J.; López, M. A.; Parra, J. 2 2021 Stability of Lipschitz-type functions under pointwise product and reciprocation. Zbl 1459.54019Beer, Gerald; García-Lirola, Luis C.; Garrido, M. Isabel 4 2020 Real-valued Lipschitz functions and metric properties of functions. Zbl 1448.54006Beer, Gerald; Garrido, M. Isabel 3 2020 A uniform approach to Hölder calmness of subdifferentials. Zbl 1439.49030Beer, Gerald; Cánovas, María Josefa; López, Marco Antonio; Parra, Juan 2 2020 McShane’s extension theorem revisited. Zbl 1444.54008Beer, Gerald 1 2020 Split continuity. Zbl 1420.54022Beer, Gerald; Bloomfield, Colin; Robinson, Grant 2 2019 Uniform continuity and a new bornology for a metric space. Zbl 1422.54019Beer, Gerald; Garrido, M. Isabel; Meroño, Ana S. 9 2018 A closure operator for clopen topologies. Zbl 1396.54003Beer, Gerald; Bloomfield, Colin 3 2018 On the uniform approximation of Cauchy continuous functions. Zbl 1342.41038Beer, Gerald; Garrido, M. Isabel 9 2016 Locally Lipschitz functions, cofinal completeness, and UC spaces. Zbl 1341.46018Beer, Gerald; Garrido, M. Isabel 17 2015 Structural properties of extended normed spaces. Zbl 1342.46005Beer, G.; Vanderwerff, J. 5 2015 Norms with infinite values. Zbl 1332.46017Beer, Gerald 5 2015 Separation of convex sets in extended normed spaces. Zbl 1337.46006Beer, G.; Vanderwerff, J. 3 2015 Bornologies and locally Lipschitz functions. Zbl 1318.26004Beer, Gerald; Garrido, M. I. 19 2014 The weak Ekeland variational principle and fixed points. Zbl 1285.49011Beer, Gerald; Dontchev, Asen L. 4 2014 Convergence of partial maps. Zbl 1301.54007Beer, Gerald; Caserta, Agata; Di Maio, Giuseppe; Lucchetti, Roberto 2 2014 Bornological convergence and shields. Zbl 1275.54003Beer, Gerald; Costantini, Camillo; Levi, Sandro 12 2013 The Lipschitz metric for real-valued continuous functions. Zbl 1309.26003Beer, Gerald; Hoffman, Michael J. 9 2013 The structure of extended real-valued metric spaces. Zbl 1287.54025Beer, Gerald 8 2013 Graphical convergence of continuous functions. Zbl 1299.54032Beer, G.; Naimpally, S. 4 2013 Semicontinuous limits of nets of continuous functions. Zbl 1285.26003Beer, Gerald 3 2013 The bornology of cofinally complete subsets. Zbl 1265.54115Beer, G.; Maio, G. Di 7 2012 Uniform continuity of a product of real functions. Zbl 1254.26004Beer, G.; Naimpally, S. 4 2012 Between the cofinally complete spaces and the UC spaces. Zbl 1266.54071Beer, Gerald 3 2012 Lipschitz functions and Ekeland’s theorem. Zbl 1237.90256Beer, Gerald; Ceniceros, Jose 2 2012 Total boundedness in metrizable spaces. Zbl 1235.54014Beer, Gerald; Costantini, Camillo; Levi, Sandro 4 2011 Uniform continuity, uniform convergence, and shields. Zbl 1236.54012Beer, Gerald; Levi, Sandro 14 2010 The Alexandroff property and the preservation of strong uniform continuity. Zbl 1252.54004Beer, Gerald 9 2010 Cofinal completeness of the Hausdorff metric topology. Zbl 1198.54033Beer, Gerald; Di Maio, Giuseppe 6 2010 Strong uniform continuity. Zbl 1161.54003Beer, Gerald; Levi, Sandro 45 2009 Total boundedness and bornologies. Zbl 1167.54008Beer, Gerald; Levi, Sandro 24 2009 Well-posedness, bornologies, and the structure of metric spaces. Zbl 1209.54016Beer, G.; Segura, M. 4 2009 Operator topologies and graph convergence. Zbl 1194.47091Beer, Gerald 4 2009 Bornological convergence: a natural generalization of Attouch-Wets convergence. Zbl 1234.54001Beer, Gerald 2 2009 Between compactness and completeness. Zbl 1169.54012Beer, Gerald 22 2008 Pseudometrizable bornological convergence is Attouch-Wets convergence. Zbl 1173.54002Beer, Gerald; Levi, Sandro 16 2008 \(\mathcal S\)-topologies and bounded convergences. Zbl 1143.54006Beer, Gerald; Naimpally, Som; Rodríguez-López, Jesús 14 2008 Embeddings of bornological universes. Zbl 1171.54012Beer, Gerald 9 2008 Gap, excess and bornological convergence. Zbl 1165.54002Beer, Gerald; Levi, Sandro 8 2008 The Attouch-Wets topology in metric and normed spaces. Zbl 1191.54001Beer, Gerald 1 2008 On the compactness theorem for sequences of closed sets. Zbl 1050.54005Beer, Gerald 3 2002 Metric bornologies and Kuratowski-Painlevé convergence to the empty set. Zbl 0973.54028Beer, Gerald 2 2001 On convergence to infinity. Zbl 0995.54018Beer, Gerald 7 2000 On metric boundedness structures. Zbl 0951.54025Beer, Gerald 16 1999 Quasi-concave functions and convex convergence to infinity. Zbl 0942.46011Beer, Gerald 1 1999 Wijsman convergence: A survey. Zbl 0812.54014Beer, Gerald 37 1994 Wijsman convergence of convex sets under renorming. Zbl 0815.46010Beer, Gerald 15 1994 The infimal value functional and the uniformization of hit-and-miss hyperspace topologies. Zbl 0824.54003Beer, Gerald; Tamaki, Robert 9 1994 Attouch-Wets convergence and a differential operator for convex functions. Zbl 0815.52010Beer, Gerald; Théra, Michel 7 1994 Lipschitz regularization and the convergence of convex functions. Zbl 0817.49018Beer, Gerald 5 1994 Stability of the geometric Ekeland variational principle: Convex case. Zbl 0812.49014Attouch, H.; Beer, G. 3 1994 A note on epi-convergence. Zbl 0846.54008Beer, Gerald 3 1994 The Hausdorff metric topology, the Attouch-Wets topology, and the measurability of set-valued functions. Zbl 0874.28016Barbati, Alberto; Beer, Gerald; Hess, Christian 2 1994 Topologies on closed and closed convex sets. Zbl 0792.54008Beer, Gerald 424 1993 Weak topologies for the closed subsets of a metrizable space. Zbl 0810.54011Beer, Gerald; Lucchetti, Roberto 32 1993 On the Fell topology. Zbl 0810.54010Beer, Gerald 20 1993 On the convergence of subdifferentials of convex functions. Zbl 0778.49018Attouch, Hedy; Beer, Gerald 19 1993 On hit-and-miss hyperspace topologies. Zbl 0787.54013Beer, Gerald; Tamaki, Robert K. 13 1993 Well-posed optimization problems and a new topology for the closed subsets of a metric space. Zbl 0812.54015Beer, Gerald; Lucchetti, Roberto 11 1993 Mosco and slice convergence of level sets and graphs of linear functionals. Zbl 0781.46016Beer, Gerald; Borwein, Jonathan M. 11 1993 Convergence of epigraphs and of sublevel sets. Zbl 0797.49023Beer, Gerald; Lucchetti, Roberto 6 1993 Convergence of convex functions and subdifferentials: the non-reflexive case. (Convergence de fonctions convexes et des sous-différentiels: Le cas non-réflexif.) Zbl 0839.46070Beer, Gerald 1 1993 Distance functionals and suprema of hyperspace topologies. Zbl 0774.54004Beer, Gerald; Lechicki, Alojzy; Levi, Sandro; Naimpally, Somashekhar 45 1992 The epi-distance topology: Continuity and stability results with applications to convex optimization problems. Zbl 0767.49011Beer, Gerald; Lucchetti, Roberto 34 1992 The slice topology: A viable alternative to Mosco convergence in nonreflexive spaces. Zbl 0786.46006Beer, Gerald 24 1992 A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. 22 1992 Topological completeness of function spaces arising in the Hausdorff approximation of functions. Zbl 0801.54011Beer, Gerald 2 1992 Convex optimization and the epi-distance topology. Zbl 0681.46013Beer, Gerald; Lucchetti, Roberto 45 1991 A Polish topology for the closed subsets of a Polish space. Zbl 0776.54011Beer, Gerald 32 1991 Uniform continuity on bounded sets and the Attouch-Wets topology. Zbl 0677.54007Beer, Gerald; Di Concilio, Anna 29 1991 On some inverse stability problems for the epigraphical sum. Zbl 0743.49005Attouch, H.; Azé, D.; Beer, G. 13 1991 Topologies on closed and closed convex sets and the Effros measurability of set valued functions. Zbl 0824.46089Beer, Gerald 13 1991 Mosco convergence and weak topologies for convex sets and functions. Zbl 0762.46005Beer, Gerald 10 1991 A generalization of boundedly compact metric spaces. Zbl 0766.54028Beer, Gerald; Di Concilio, Anna 9 1991 The Prox map. Zbl 0681.46016Beer, Gerald; Pai, Devidas 9 1991 The slice topology: A viable alternative to Mosco convergence in nonreflexive spaces. Zbl 0853.54013Beer, Gerald 5 1991 On the convergence of subdifferentials of convex functions. Zbl 0901.49013Attouch, Hédy; Beer, Gerald 3 1991 Conjugate convex functions and the epi-distance topology. Zbl 0681.46014Beer, Gerald 36 1990 Mosco convergence and reflexivity. Zbl 0763.46006Beer, Gerald; Borwein, Jonathan M. 23 1990 On convergence of convex sets and relative Chebyshev centers. Zbl 0733.41030Beer, Gerald; Pai, Devidas 21 1990 Proximal maps, prox maps and coincidence points. Zbl 0726.41035Beer, Gerald; Pai, Devidas 11 1990 Three characterizations of the Mosco topology for convex functions. Zbl 0681.46012Beer, Gerald 6 1990 Function spaces and the Mosco topology. Zbl 0681.46027Beer, Gerald; Tamaki, Robert 1 1990 Convergence of continuous linear functionals and their level sets. Zbl 0662.46015Beer, Gerald 28 1989 Support and distance functionals for convex sets. Zbl 0696.46010Beer, Gerald 26 1989 Metric projections and the Fell topology. Zbl 0762.54018Beer, Gerald 5 1989 Epiconvergence and Baire category. Zbl 0672.54016Beer, Gerald; Kenderov, Petar 3 1989 Infima of convex functions. Zbl 0677.49013Beer, Gerald 3 1989 On Mosco convergence of convex sets. Zbl 0669.52002Beer, Gerald 44 1988 On the Young-Fenchel transform for convex functions. Zbl 0691.46006Beer, Gerald 20 1988 UC spaces revisited. Zbl 0656.54022Beer, Gerald 14 1988 On a generic optimization theorem of Petar Kenderov. Zbl 0686.90042Beer, Gerald 14 1988 On a theorem of Cellina for set valued functions. Zbl 0648.54015Beer, Gerald 9 1988 An embedding theorem for the Fell topology. Zbl 0659.54008Beer, Gerald 8 1988 On the arg min multifunction for lower semicontinuous functions. Zbl 0731.49009Beer, Gerald; Kenderov, Petar 8 1988 Borel measures and Hausdorff distance. Zbl 0665.28009Beer, Gerald; Villar, Luzviminda 4 1988 Complete subsets of C(X,Y) with respect to Hausdorff distance. Zbl 0672.54015Beer, Gerald 1 1988 Metric spaces with nice closed balls and distance functions for closed sets. Zbl 0588.54014Beer, Gerald 27 1987 The locally finite topology on \(2^ X\). Zbl 0625.54013Beer, G. A.; Himmelberg, C. J.; Prikry, K.; Van Vleck, F. S. 17 1987 Limits of starshaped sets. Zbl 0603.46014Beer, Gerald; Klee, Victor 8 1987 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 891 Authors 81 Beer, Gerald Alan 42 Holá, Ľubica 14 Ulusu, Uǧur 13 Levi, Sandro 13 Penot, Jean-Paul 13 Roberto, Lucchetti E. 12 Cao, Jiling 12 Costantini, Camillo 12 Holý, Dušan 12 López-Cerdá, Marco Antonio 12 Naimpally, Somashekhar Amrith 12 Wets, Roger Jean-Baptiste 11 Di Maio, Giuseppe 11 Dündar, Erdinç 10 Di Concilio, Anna 9 Attouch, Hedy 9 Kundu, Subiman 9 Zălinescu, Constantin 9 Zsilinszky, László 8 Ceppitelli, Rita 8 Garrido, María Isabel 8 Goberna, Miguel Angel 8 Li, Chong 8 Parra, Juan 8 Rodríguez-López, Jesús 8 Romaguera Bonilla, Salvador 8 Royset, Johannes O. 8 Yu, Jian 7 Cánovas, María Josefa 7 Caserta, Agata 7 Gülle, Esra 7 Nuray, Fatih 7 Pai, Devidas V. 7 Pelant, Jan 7 Seeger, Alberto 7 Théra, Michel A. 6 Akin, Nimet Pancaroglu 6 Borwein, Jonathan Michael 6 Geoffroy, Michel H. 6 Gupta, Lipsy 6 Li, Shoumei 6 Lorenz, Thomas 6 McCoy, Robert A. 6 Revalski, Julian Petrov 6 Vera de Serio, Virginia N. 6 Vitolo, Paolo 6 Wang, Yangeng 6 Wei, Guo 5 Aggarwal, Manisha 5 Brattka, Vasco 5 Caterino, Alessandro 5 Das, Pratulananda 5 De Blasi, Francesco Saverio 5 Eberhard, Andrew C. 5 Gutev, Valentin G. 5 Hess, Christian 5 Li, Risong 5 Ogura, Yukio 5 Sakai, Katsuro 5 Sioen, Mark 5 Sonntag, Yves 5 Terán, Pedro 4 Azé, Dominique 4 Brandi, Primo 4 Ezzaki, Fatima 4 Guadagni, Clara 4 Hazarika, Bipan 4 Huang, Xuexiang 4 Jain, Tanvi 4 Jourani, Abderrahim 4 Junnila, Heikki J. K. 4 Keremedis, Kyriakos 4 Kimura, Yasunori 4 Lechicki, Alojzy 4 Lowen, Robert 4 Meroño, Ana Soledad 4 Myjak, Jozef Wenety 4 Novotný, Branislav 4 Papini, Pier Luigi 4 Peng, Dingtao 4 Pennanen, Teemu 4 Peters, James Francis III 4 Qiu, Dong 4 Rosa, Marco 4 Shunmugaraj, P. 4 Simons, Stephen 4 Talo, Özer 4 Vanderwerff, Jon D. 4 Wang, Shawn Xianfu 4 Yang, Zhongqiang 4 Yao, Jen-Chih 4 Zagrodny, Dariusz 4 Zaslavski, Alexander Yakovlevich 3 Alleche, Boualem 3 Banakh, Taras Onufrievich 3 Chandra, Debraj 3 Das, Subhankar 3 Dentcheva, Darinka 3 Di Piazza, Luisa 3 Echi, Othman ...and 791 more Authors all top 5 Cited in 236 Serials 100 Topology and its Applications 60 Journal of Mathematical Analysis and Applications 35 Proceedings of the American Mathematical Society 34 Set-Valued Analysis 24 Set-Valued and Variational Analysis 20 Fuzzy Sets and Systems 18 Journal of Optimization Theory and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Numerical Functional Analysis and Optimization 14 Journal of Approximation Theory 14 Mathematical Programming. Series A. Series B 13 Transactions of the American Mathematical Society 13 Optimization 12 Bulletin of the Australian Mathematical Society 11 Mathematica Slovaca 11 Journal of Convex Analysis 11 Fixed Point Theory and Applications 10 Acta Mathematica Hungarica 10 SIAM Journal on Optimization 10 Abstract and Applied Analysis 10 Nonlinear Analysis. Theory, Methods & Applications 9 Filomat 8 Rocky Mountain Journal of Mathematics 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Journal of Global Optimization 7 Journal of Functional Analysis 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Mathematical Economics 6 International Journal of Approximate Reasoning 6 Vietnam Journal of Mathematics 5 Advances in Mathematics 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Monatshefte für Mathematik 5 Results in Mathematics 5 Journal of Inequalities and Applications 5 Acta Mathematica Sinica. English Series 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Theoretical Computer Science 4 Annals of Operations Research 4 Linear Algebra and its Applications 4 Soft Computing 4 Mediterranean Journal of Mathematics 4 Journal of Applied Mathematics & Informatics 3 Israel Journal of Mathematics 3 The Annals of Statistics 3 Journal of Applied Probability 3 Journal of Differential Equations 3 Journal of Geometry 3 Kybernetika 3 Mathematika 3 Quaestiones Mathematicae 3 Revista Matemática Iberoamericana 3 Journal of Difference Equations and Applications 3 Positivity 3 Central European Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Applied General Topology 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Studia Mathematica 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Fundamenta Mathematicae 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Journal of the Mathematical Society of Japan 2 Numerische Mathematik 2 Real Analysis Exchange 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Statistics & Probability Letters 2 Facta Universitatis. Series Mathematics and Informatics 2 Aequationes Mathematicae 2 Journal of Mathematical Imaging and Vision 2 Tatra Mountains Mathematical Publications 2 Topology Proceedings 2 Economic Theory 2 Top 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Methods of Operations Research 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Journal of Mathematical Logic 2 Journal of Applied Mathematics 2 Stochastic Models 2 Hacettepe Journal of Mathematics and Statistics 2 Journal of Algebra and its Applications 2 Journal of Function Spaces and Applications 2 Iranian Journal of Fuzzy Systems 2 Journal of Nonlinear Science and Applications 2 Bulletin of Mathematical Analysis and Applications 2 Dynamic Games and Applications 2 Iranian Journal of Mathematical Sciences and Informatics 1 Discrete Mathematics 1 International Journal of General Systems ...and 136 more Serials all top 5 Cited in 51 Fields 434 General topology (54-XX) 178 Calculus of variations and optimal control; optimization (49-XX) 128 Functional analysis (46-XX) 102 Operations research, mathematical programming (90-XX) 85 Operator theory (47-XX) 72 Real functions (26-XX) 59 Probability theory and stochastic processes (60-XX) 56 Convex and discrete geometry (52-XX) 53 Measure and integration (28-XX) 48 Approximations and expansions (41-XX) 43 Sequences, series, summability (40-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Dynamical systems and ergodic theory (37-XX) 28 Mathematical logic and foundations (03-XX) 26 Ordinary differential equations (34-XX) 22 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 18 Statistics (62-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Computer science (68-XX) 10 Differential geometry (53-XX) 10 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Difference and functional equations (39-XX) 9 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Topological groups, Lie groups (22-XX) 5 Group theory and generalizations (20-XX) 5 Abstract harmonic analysis (43-XX) 5 Algebraic topology (55-XX) 4 Category theory; homological algebra (18-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year