Edit Profile (opens in new tab) Crombez, Gilbert Co-Author Distance Author ID: crombez.gilbert Published as: Crombez, G.; Crombez, Gilbert Documents Indexed: 54 Publications since 1967 Reviewing Activity: 74 Reviews Co-Authors: 3 Co-Authors with 11 Joint Publications 36 Co-Co-Authors Co-Authors 43 single-authored 9 Govaerts, Willy J. F. 1 Six, Gabriel 1 Timm, Jürgen all top 5 Serials 8 Simon Stevin 5 Numerical Functional Analysis and Optimization 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Czechoslovak Mathematical Journal 3 Bulletin de la Société Matheḿatique de Belgique. Série B 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Journal of Nonlinear and Convex Analysis 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Gaṇita 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetika 1 Publicationes Mathematicae Debrecen 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Glasnik Matematički. Serija III 1 Journal of Applied Analysis 1 Bollettino della Unione Matematica Italiana. Series IV all top 5 Fields 16 Abstract harmonic analysis (43-XX) 16 Numerical analysis (65-XX) 15 Operator theory (47-XX) 11 Functional analysis (46-XX) 5 Computer science (68-XX) 4 Topological groups, Lie groups (22-XX) 3 General algebraic systems (08-XX) 3 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 238 times in 162 Documents Cited by ▼ Year ▼ A hierarchical presentation of operators with fixed points on Hilbert spaces. Zbl 1100.47044 Crombez, G. 39 2006 A geometrical look at iterative methods for operators with fixed points. Zbl 1074.65064 Crombez, G. 30 2005 On \((n,m)\)-rings. Zbl 0247.08001 Crombez, Gilbert 29 1972 Image recovery by convex combinations of projections. Zbl 0752.65045 Crombez, G. 24 1991 On (n,m)-quotient rings. Zbl 0247.08002 Crombez, Gilbert; Timm, Jürgen 24 1972 Finding common fixed points of strict paracontractions by averaging strings of sequential iterations. Zbl 1039.47044 Crombez, G. 13 2002 Viewing parallel projection methods as sequential ones in convex feasibility problems. Zbl 0846.46010 Crombez, G. 9 1995 Finding projections onto the intersection of convex sets in Hilbert spaces. Zbl 0827.46017 Crombez, G. 8 1995 Finding common fixed points of a class of paracontractions. Zbl 1065.47055 Crombez, G. 7 2004 Improving the speed of convergence in the method of projections onto convex sets. Zbl 0973.65001 Crombez, G. 4 2001 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006 Crombez, G.; Govaerts, W. 4 1978 Weak and norm convergence of a parallel projection method in Hilbert spaces. Zbl 0783.65049 Crombez, G. 4 1993 Non-monotoneous parallel iteration for solving convex feasibility problems. Zbl 1249.65040 Crombez, Gilbert 4 2003 Parallel algorithms for finding common fixed points of paracontractions. Zbl 1004.65068 Crombez, G. 3 2002 Parallel methods in image recovery by projections onto convex sets. Zbl 0789.65039 Crombez, G. 3 1992 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001 Crombez, G.; Govaerts, W. 3 1982 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002 Crombez, G.; Govaerts, W. 2 1979 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006 Crombez, G.; Govaerts, W. 2 1980 On topological n-groups. Zbl 0283.22005 Crombez, Gilbert; Six, Gabriel 2 1974 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004 Crombez, G.; Govaerts, W. 2 1978 Solving convex feasibility problems by a parallel projection method with geometrically-defined parameters. Zbl 0877.65033 Crombez, G. 2 1997 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009 Crombez, G.; Govaerts, W. 2 1984 A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets. Zbl 1164.47399 Crombez, G. 2 2006 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017 Crombez, G.; Govaerts, W. 1 1980 An elementary proof about the order of the elements in a discrete group. Zbl 0462.22002 Crombez, G. 1 1982 Compactness and almost periodicity of multipliers. Zbl 0464.43003 Crombez, G. 1 1983 On partially ordered \(n\)-groups. Zbl 0259.06013 Crombez, Gilbert 1 1972 The Post coset theorem for (n,m)-rings. Zbl 0338.08007 Crombez, Gilbert 1 1973 Topologies on spaces of continuous multifunctions. Zbl 0357.54012 Crombez, G. 1 1977 A characterization of compact groups. Zbl 0399.43002 Crombez, G. 1 1979 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004 Crombez, G.; Govaerts, W. 1 1986 An adaptive parallel projection method for solving convex feasibility problems. Zbl 0904.65061 Crombez, G. 1 1997 A parallel projection method based on sequential most remote set in convex feasibility problems. Zbl 0840.65039 Crombez, G. 1 1995 Über einen Satz von Poincaré für lineare Differentialgleichungen. Zbl 0185.15905 Crombez, G. 1 1969 On normal congruences, constituted by the generators of quadric surfaces, and on a particular class of minimal surfaces. Zbl 0192.58401 Crombez, G. 1 1970 Subspaces of \(L_{\infty}(G)\) with unique topological left invariant mean. Zbl 0558.43001 Crombez, G. 1 1984 Image restoration by convex combinations of convex projections. Zbl 0754.46015 Crombez, G. 1 1990 Group theoretical methods in gray-scale mathematical morphology. Zbl 0747.68095 Crombez, G. 1 1990 On averaged, firmly nonexpansive and quasi-nonexpansive operators, and more of that. Zbl 1140.47040 Crombez, Gilbert 1 2007 On averaged, firmly nonexpansive and quasi-nonexpansive operators, and more of that. Zbl 1140.47040 Crombez, Gilbert 1 2007 A hierarchical presentation of operators with fixed points on Hilbert spaces. Zbl 1100.47044 Crombez, G. 39 2006 A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets. Zbl 1164.47399 Crombez, G. 2 2006 A geometrical look at iterative methods for operators with fixed points. Zbl 1074.65064 Crombez, G. 30 2005 Finding common fixed points of a class of paracontractions. Zbl 1065.47055 Crombez, G. 7 2004 Non-monotoneous parallel iteration for solving convex feasibility problems. Zbl 1249.65040 Crombez, Gilbert 4 2003 Finding common fixed points of strict paracontractions by averaging strings of sequential iterations. Zbl 1039.47044 Crombez, G. 13 2002 Parallel algorithms for finding common fixed points of paracontractions. Zbl 1004.65068 Crombez, G. 3 2002 Improving the speed of convergence in the method of projections onto convex sets. Zbl 0973.65001 Crombez, G. 4 2001 Solving convex feasibility problems by a parallel projection method with geometrically-defined parameters. Zbl 0877.65033 Crombez, G. 2 1997 An adaptive parallel projection method for solving convex feasibility problems. Zbl 0904.65061 Crombez, G. 1 1997 Viewing parallel projection methods as sequential ones in convex feasibility problems. Zbl 0846.46010 Crombez, G. 9 1995 Finding projections onto the intersection of convex sets in Hilbert spaces. Zbl 0827.46017 Crombez, G. 8 1995 A parallel projection method based on sequential most remote set in convex feasibility problems. Zbl 0840.65039 Crombez, G. 1 1995 Weak and norm convergence of a parallel projection method in Hilbert spaces. Zbl 0783.65049 Crombez, G. 4 1993 Parallel methods in image recovery by projections onto convex sets. Zbl 0789.65039 Crombez, G. 3 1992 Image recovery by convex combinations of projections. Zbl 0752.65045 Crombez, G. 24 1991 Image restoration by convex combinations of convex projections. Zbl 0754.46015 Crombez, G. 1 1990 Group theoretical methods in gray-scale mathematical morphology. Zbl 0747.68095 Crombez, G. 1 1990 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004 Crombez, G.; Govaerts, W. 1 1986 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009 Crombez, G.; Govaerts, W. 2 1984 Subspaces of \(L_{\infty}(G)\) with unique topological left invariant mean. Zbl 0558.43001 Crombez, G. 1 1984 Compactness and almost periodicity of multipliers. Zbl 0464.43003 Crombez, G. 1 1983 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001 Crombez, G.; Govaerts, W. 3 1982 An elementary proof about the order of the elements in a discrete group. Zbl 0462.22002 Crombez, G. 1 1982 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006 Crombez, G.; Govaerts, W. 2 1980 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017 Crombez, G.; Govaerts, W. 1 1980 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002 Crombez, G.; Govaerts, W. 2 1979 A characterization of compact groups. Zbl 0399.43002 Crombez, G. 1 1979 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006 Crombez, G.; Govaerts, W. 4 1978 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004 Crombez, G.; Govaerts, W. 2 1978 Topologies on spaces of continuous multifunctions. Zbl 0357.54012 Crombez, G. 1 1977 On topological n-groups. Zbl 0283.22005 Crombez, Gilbert; Six, Gabriel 2 1974 The Post coset theorem for (n,m)-rings. Zbl 0338.08007 Crombez, Gilbert 1 1973 On \((n,m)\)-rings. Zbl 0247.08001 Crombez, Gilbert 29 1972 On (n,m)-quotient rings. Zbl 0247.08002 Crombez, Gilbert; Timm, Jürgen 24 1972 On partially ordered \(n\)-groups. Zbl 0259.06013 Crombez, Gilbert 1 1972 On normal congruences, constituted by the generators of quadric surfaces, and on a particular class of minimal surfaces. Zbl 0192.58401 Crombez, G. 1 1970 Über einen Satz von Poincaré für lineare Differentialgleichungen. Zbl 0185.15905 Crombez, G. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 185 Authors 19 Crombez, Gilbert 16 Censor, Yair 10 Davvaz, Bijan 10 Reich, Simeon 7 Bnouhachem, Abdellah 7 Rizvi, Shuja Haider 7 Zalas, Rafał 6 Kazmi, Kaleem Raza 6 Takahashi, Wataru 5 Ameri, Reza 5 Combettes, Patrick L. 5 Ogbuisi, Ferdinard Udochukwu 4 Anbarloei, Mahdi 4 Bauschke, Heinz H. 4 Gibali, Aviv 4 Mewomo, Oluwatosin Temitope 4 Norouzi, Morteza 4 Zaslavski, Alexander Yakovlevich 3 Cegielski, Andrzej 3 Chaudhari, Jayprakash Ninu 3 Dang, Yazheng 3 Kolobov, Victor I. 3 Nemade, Harish 3 Segal, Alexander 3 Yamada, Isao 2 Ansari, Qamrul Hasan 2 Butson, Alton T. 2 Cho, Yeol Je 2 Davidi, Ran 2 Deutsch, Frank 2 Dong, Qiaoli 2 Duplij, Steven 2 Ghaffari, Ali 2 Herman, Gabor T. 2 Husain, Shamshad 2 Kimura, Yasunori 2 Kohlenbach, Ulrich Wilhelm 2 Kohsaka, Fumiaki 2 Kruk, Serge G. 2 Leeson, J. J. 2 Leoreanu-Fotea, Violeta 2 Li, Xiaohuan 2 Mirvakili, Saeed 2 Nakajo, Kazuhide 2 Narain, Ojen Kumar 2 Nicolae, Adriana 2 Ostadhadi-Dehkordi, S. 2 Racher, Gerhard 2 Sahebi, Hamid Reza 2 Shehu, Yekini 2 Sun, Jie 2 Wen, Daojun 2 Zhan, Jianming 1 Abtahi, Fatemeh 1 Abuchu, Jacob Ashiwere 1 Afassinou, Komi 1 Ahmad, Rais 1 Akbarbaglu, Ibrahim 1 Akram, Mohammad 1 Al-Homidan, Suliman S. 1 Alaghmandan, Mahmood 1 Alam, Syed Eqbal 1 Ali, Faeem 1 Ali, Javid 1 Ali, Rehan 1 Aljohani, Abdulrahman F. 1 Aoyama, Koji 1 Asad, Mohd 1 Asadi, Ameneh 1 Azhini, Mahdi 1 Bargetz, Christian 1 Borisovich, Yuriĭ Grigor’evich 1 Bregman, Lev M. 1 Buong, Nguyen 1 Carmi, Avishy Y. 1 Chang, Shih-Sen 1 Chen, Wei 1 Chen, YiAn 1 Chen, Ying 1 Cheraghi, Masoumeh 1 Chill, Ralph 1 Cholamjiak, Watcharaporn 1 Crann, Jason 1 Demongeot, Jacques 1 Deshpande, M. V. 1 Dilshad, Mohammad 1 Dimiccoli, Mariella 1 Farid, Mohammad 1 Farid, Mohd. 1 Feichtinger, Hans Georg 1 Gao, Yan 1 Gel’man, Boris Danielovich 1 Govaerts, Willy J. F. 1 Gurfil, Pini 1 Hare, Kathryn E. 1 Heidari, Dariush 1 Heidari, Mohammad Mehdi 1 Helmer, Dietrich 1 Hila, Kostaq 1 Hundal, Hein S. ...and 85 more Authors all top 5 Cited in 91 Serials 11 Numerical Functional Analysis and Optimization 11 Fixed Point Theory and Applications 5 Journal of Mathematical Analysis and Applications 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Approximation Theory 3 Applied Mathematics and Computation 3 Czechoslovak Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 European Journal of Combinatorics 3 Optimization 3 Numerical Algorithms 3 Journal of the Egyptian Mathematical Society 3 Journal of Fixed Point Theory and Applications 3 Asian-European Journal of Mathematics 3 Afrika Matematika 2 Bulletin of the Australian Mathematical Society 2 Mathematical Methods in the Applied Sciences 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Algebra Universalis 2 Journal of Soviet Mathematics 2 Computational Optimization and Applications 2 Filomat 2 International Transactions in Operational Research 2 Journal of Inequalities and Applications 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Journal of Applied Mathematics 2 Thai Journal of Mathematics 2 Journal of Industrial and Management Optimization 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 Communications in Algebra 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematische Semesterberichte 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Journal of Algebra 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Kybernetika 1 Matematički Vesnik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Neural Networks 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Georgian Mathematical Journal 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Acta Mathematica Sinica. English Series 1 Nonlinear Functional Analysis and Applications 1 Journal of the Australian Mathematical Society 1 Kragujevac Journal of Mathematics 1 Journal of Intelligent and Fuzzy Systems 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Optimization Letters 1 Set-Valued and Variational Analysis 1 Statistics Surveys 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Advances in Pure and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 TWMS Journal of Pure and Applied Mathematics 1 Arabian Journal of Mathematics 1 Journal of Mahani Mathematical Research Center 1 Caspian Journal of Mathematical Sciences 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Categories and General Algebraic Structures with Applications 1 Fixed Point Theory and Algorithms for Sciences and Engineering all top 5 Cited in 37 Fields 81 Operator theory (47-XX) 49 Numerical analysis (65-XX) 42 Operations research, mathematical programming (90-XX) 26 Associative rings and algebras (16-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Group theory and generalizations (20-XX) 11 Abstract harmonic analysis (43-XX) 11 Functional analysis (46-XX) 9 Topological groups, Lie groups (22-XX) 6 Nonassociative rings and algebras (17-XX) 6 Information and communication theory, circuits (94-XX) 5 General topology (54-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 3 Convex and discrete geometry (52-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Citations by Year