Edit Profile (opens in new tab) Leuştean, Laurenţiu Co-Author Distance Author ID: leustean.laurentiu Published as: Leuştean, Laurenţiu; Leuştean, L.; Leustean, Laurentiu; Leuştean, Laurentiu; Leustean, L. more...less External Links: MGP · ORCID Documents Indexed: 44 Publications since 1999, including 4 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 15 Reviews Co-Authors: 22 Co-Authors with 34 Joint Publications 456 Co-Co-Authors all top 5 Co-Authors 11 single-authored 9 Kohlenbach, Ulrich Wilhelm 7 Nicolae, Adriana 4 Georgescu, George 4 Sipoş, Andrei 3 Cheval, Horaţiu 3 Pinto, Pedro 2 Di Nola, Antonio 2 López Acedo, Genaro 1 Ariza-Ruiz, David 1 Colao, Vittorio 1 Firmino, Paulo Renato Alves 1 Ivan, Daniel 1 Kleijn, Jetty 1 Lucanu, Dorel 1 Martín-Márquez, Victoria 1 Mureşan, Claudia 1 Preoteasa, Viorel 1 Radu, Vlad 1 Roşu, Grigore 1 Venkatesan, Ram Prasad 1 Whittle, Jon 1 Zaharescu, Alexandru all top 5 Serials 3 Journal of Mathematical Analysis and Applications 3 Advances in Mathematics 3 Ergodic Theory and Dynamical Systems 2 Journal of Convex Analysis 2 Journal of Multiple-Valued Logic and Soft Computing 1 Algebra Universalis 1 Archiv der Mathematik 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Transactions of the American Mathematical Society 1 Annals of Pure and Applied Logic 1 Journal of Global Optimization 1 Archive for Mathematical Logic 1 Computational Optimization and Applications 1 Multiple-Valued Logic 1 Optimization Methods & Software 1 Soft Computing 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Fundamenta Informaticae 1 Journal of Nonlinear and Convex Analysis 1 Journal of Universal Computer Science 1 Journal of the Australian Mathematical Society 1 Central European Journal of Mathematics 1 Optimization Letters 1 Journal of Nonlinear and Variational Analysis all top 5 Fields 33 Mathematical logic and foundations (03-XX) 28 Operator theory (47-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General topology (54-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 656 times in 453 Documents Cited by ▼ Year ▼ A quadratic rate of asymptotic regularity for CAT(0)-spaces. Zbl 1103.03057 Leustean, L. 124 2007 Firmly nonexpansive mappings in classes of geodesic spaces. Zbl 1524.47056 Ariza-Ruiz, David; Leuştean, Laurenţiu; López-Acedo, Genaro 73 2014 Nonexpansive iterations in uniformly convex \(W\)-hyperbolic spaces. Zbl 1217.47117 Leuştean, Laurenţiu 60 2010 Pseudo-hoops. Zbl 1078.06007 Georgescu, George; Leuştean, Laurenţiu; Preoteasa, Viorel 55 2005 Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces. Zbl 1184.03057 Kohlenbach, Ulrich; Leuştean, Laurentiu 36 2010 Compact representations of BL-algebras. Zbl 1040.03048 Di Nola, Antonio; Leuştean, Laurenţiu 31 2003 Some classes of pseudo-BL algebras. Zbl 1016.03069 Georgescu, George; Leuştean, Laurenţiu 30 2002 Effective metastability of Halpern iterates in \(CAT(0)\) spaces. Zbl 1270.47060 Kohlenbach, U.; Leuştean, L. 24 2012 Boolean products of BL-algebras. Zbl 0966.03055 Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu 22 2000 A quantitative mean ergodic theorem for uniformly convex Banach spaces. Zbl 1190.37005 Kohlenbach, U.; Leuştean, L. 19 2009 On the computational content of convergence proofs via Banach limits. Zbl 1329.03094 Kohlenbach, U.; Leuştean, L. 17 2012 Quantitative results on Fejér monotone sequences. Zbl 06814506 Kohlenbach, Ulrich; Leuştean, Laurenţiu; Nicolae, Adriana 16 2018 The prime and maximal spectra and the reticulation of BL-algebras. Zbl 1039.03052 Leuştean, Laurenţiu 14 2003 On the removal of weak compactness arguments in proof mining. Zbl 1446.03100 Ferreira, Fernando; Leuştean, Laurenţiu; Pinto, Pedro 14 2019 Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings. Zbl 1316.47057 Leuştean, Laurenţiu 13 2007 The approximate fixed point property in product spaces. Zbl 1118.47047 Kohlenbach, U.; Leuştean, L. 11 2007 An abstract proximal point algorithm. Zbl 1414.90267 Leuştean, Laurenţiu; Nicolae, Adriana; Sipoş, Andrei 11 2018 Maximal residuated lattices with lifting Boolean center. Zbl 1203.06017 Georgescu, George; Leuştean, Laurenţiu; Mureşan, Claudia 10 2010 Quantitative results on a Halpern-type proximal point algorithm. Zbl 07353215 Leuştean, Laurenţiu; Pinto, Pedro 10 2021 Addendum to: “Effective metastability of Halpern iterates in CAT(0) spaces”. Zbl 1284.47044 Kohlenbach, Ulrich Wilhelm; Leuştean, Laurenţiu 9 2014 Proof mining in \(\mathbb{R}\)-trees and hyperbolic spaces. Zbl 1262.03121 Leuştean, Laurenţiu 8 2006 Effective results on nonlinear ergodic averages in \(\text{CAT}(\kappa)\) spaces. Zbl 1362.37015 Leuştean, Laurenţiu; Nicolae, Adriana 7 2016 An application of proof mining to nonlinear iterations. Zbl 1388.03052 Leuştean, Laurenţiu 7 2014 A rate of asymptotic regularity for the Mann iteration of \(\kappa\)-strict pseudo-contractions. Zbl 1334.47063 Ivan, Daniel; Leuştean, Laurenţiu 6 2015 On modified Halpern and Tikhonov-Mann iterations. Zbl 1519.47077 Cheval, Horaţiu; Kohlenbach, Ulrich; Leuştean, Laurenţiu 5 2023 Certifying optimality of state estimation programs. Zbl 1278.68193 Roşu, Grigore; Venkatesan, Ram Prasad; Whittle, Jon; Leuştean, Laurenţiu 4 2003 Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration. Zbl 1514.47104 Cheval, Horaţiu; Leuştean, Laurenţiu 4 2022 Effective strong convergence of the proximal point algorithm in CAT(0) spaces. Zbl 1459.46070 Leuştean, Laurenţiu; Sipoş, Andrei 4 2018 An application of proof mining to the proximal point algorithm in CAT(0) spaces. Zbl 1416.03028 Leuştean, Laurenţiu; Sipoş, Andrei 4 2018 Alternative iterative methods for nonexpansive mappings, rates of convergence and applications. Zbl 1216.47095 Colao, Vittorio; Leuştean, Laurenţiu; López, Genaro; Martín-Márquez, Victoria 3 2011 Sheaf representations of BL-algebras. Zbl 1093.03038 Leuştean, L. 2 2005 Effective results on compositions of nonexpansive mappings. Zbl 1309.47061 Leuştean, Laurenţiu; Nicolae, Adriana 2 2014 A note on an alternative iterative method for nonexpansive mappings. Zbl 06731405 Leustean, Laurentiu; Nicolae, Adriana 1 2017 On modified Halpern and Tikhonov-Mann iterations. Zbl 1519.47077 Cheval, Horaţiu; Kohlenbach, Ulrich; Leuştean, Laurenţiu 5 2023 Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration. Zbl 1514.47104 Cheval, Horaţiu; Leuştean, Laurenţiu 4 2022 Quantitative results on a Halpern-type proximal point algorithm. Zbl 07353215 Leuştean, Laurenţiu; Pinto, Pedro 10 2021 On the removal of weak compactness arguments in proof mining. Zbl 1446.03100 Ferreira, Fernando; Leuştean, Laurenţiu; Pinto, Pedro 14 2019 Quantitative results on Fejér monotone sequences. Zbl 06814506 Kohlenbach, Ulrich; Leuştean, Laurenţiu; Nicolae, Adriana 16 2018 An abstract proximal point algorithm. Zbl 1414.90267 Leuştean, Laurenţiu; Nicolae, Adriana; Sipoş, Andrei 11 2018 Effective strong convergence of the proximal point algorithm in CAT(0) spaces. Zbl 1459.46070 Leuştean, Laurenţiu; Sipoş, Andrei 4 2018 An application of proof mining to the proximal point algorithm in CAT(0) spaces. Zbl 1416.03028 Leuştean, Laurenţiu; Sipoş, Andrei 4 2018 A note on an alternative iterative method for nonexpansive mappings. Zbl 06731405 Leustean, Laurentiu; Nicolae, Adriana 1 2017 Effective results on nonlinear ergodic averages in \(\text{CAT}(\kappa)\) spaces. Zbl 1362.37015 Leuştean, Laurenţiu; Nicolae, Adriana 7 2016 A rate of asymptotic regularity for the Mann iteration of \(\kappa\)-strict pseudo-contractions. Zbl 1334.47063 Ivan, Daniel; Leuştean, Laurenţiu 6 2015 Firmly nonexpansive mappings in classes of geodesic spaces. Zbl 1524.47056 Ariza-Ruiz, David; Leuştean, Laurenţiu; López-Acedo, Genaro 73 2014 Addendum to: “Effective metastability of Halpern iterates in CAT(0) spaces”. Zbl 1284.47044 Kohlenbach, Ulrich Wilhelm; Leuştean, Laurenţiu 9 2014 An application of proof mining to nonlinear iterations. Zbl 1388.03052 Leuştean, Laurenţiu 7 2014 Effective results on compositions of nonexpansive mappings. Zbl 1309.47061 Leuştean, Laurenţiu; Nicolae, Adriana 2 2014 Effective metastability of Halpern iterates in \(CAT(0)\) spaces. Zbl 1270.47060 Kohlenbach, U.; Leuştean, L. 24 2012 On the computational content of convergence proofs via Banach limits. Zbl 1329.03094 Kohlenbach, U.; Leuştean, L. 17 2012 Alternative iterative methods for nonexpansive mappings, rates of convergence and applications. Zbl 1216.47095 Colao, Vittorio; Leuştean, Laurenţiu; López, Genaro; Martín-Márquez, Victoria 3 2011 Nonexpansive iterations in uniformly convex \(W\)-hyperbolic spaces. Zbl 1217.47117 Leuştean, Laurenţiu 60 2010 Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces. Zbl 1184.03057 Kohlenbach, Ulrich; Leuştean, Laurentiu 36 2010 Maximal residuated lattices with lifting Boolean center. Zbl 1203.06017 Georgescu, George; Leuştean, Laurenţiu; Mureşan, Claudia 10 2010 A quantitative mean ergodic theorem for uniformly convex Banach spaces. Zbl 1190.37005 Kohlenbach, U.; Leuştean, L. 19 2009 A quadratic rate of asymptotic regularity for CAT(0)-spaces. Zbl 1103.03057 Leustean, L. 124 2007 Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings. Zbl 1316.47057 Leuştean, Laurenţiu 13 2007 The approximate fixed point property in product spaces. Zbl 1118.47047 Kohlenbach, U.; Leuştean, L. 11 2007 Proof mining in \(\mathbb{R}\)-trees and hyperbolic spaces. Zbl 1262.03121 Leuştean, Laurenţiu 8 2006 Pseudo-hoops. Zbl 1078.06007 Georgescu, George; Leuştean, Laurenţiu; Preoteasa, Viorel 55 2005 Sheaf representations of BL-algebras. Zbl 1093.03038 Leuştean, L. 2 2005 Compact representations of BL-algebras. Zbl 1040.03048 Di Nola, Antonio; Leuştean, Laurenţiu 31 2003 The prime and maximal spectra and the reticulation of BL-algebras. Zbl 1039.03052 Leuştean, Laurenţiu 14 2003 Certifying optimality of state estimation programs. Zbl 1278.68193 Roşu, Grigore; Venkatesan, Ram Prasad; Whittle, Jon; Leuştean, Laurenţiu 4 2003 Some classes of pseudo-BL algebras. Zbl 1016.03069 Georgescu, George; Leuştean, Laurenţiu 30 2002 Boolean products of BL-algebras. Zbl 0966.03055 Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu 22 2000 all cited Publications top 5 cited Publications all top 5 Cited by 448 Authors 31 Kohlenbach, Ulrich Wilhelm 20 Borzooei, Rajab Ali 19 Leuştean, Laurenţiu 16 Panyanak, Bancha 15 Ciungu, Lavinia Corina 15 Nicolae, Adriana 12 Dvurečenskij, Anatolij 12 Khan, Abdul Rahim 12 Sipoş, Andrei 11 Chang, Shih-Sen 11 Fukhar-Ud-Din, Hafiz 11 Izuchukwu, Chinedu 11 Ugwunnadi, Godwin Chidi 10 Khamsi, Mohamed Amine 10 Kumam, Poom 10 Mewomo, Oluwatosin Temitope 10 Xin, Xiaolong 9 Jun, Young Bae 9 Kologani, Mona Aaly 9 Phuengrattana, Withun 9 Pinto, Pedro 8 Dashputre, Samir 7 Espínola García, Rafael 7 Khan, Muhammad Aqeel Ahmad 7 Uddin, Izhar 7 Wang, Lin 7 Zhan, Jianming 6 Borumand Saeid, Arsham 6 Georgescu, George 5 Aremu, Kazeem Olalekan 5 Basarir, Metin 5 Cholamjiak, Prasit 5 Farajzadeh, Ali P. 5 Khan, Safeer Hussain 5 Liu, Lianzhen 5 López Acedo, Genaro 5 Salisu, Sani 5 Yang, Jiang 5 Zahiri, Omid 4 Abbas, Mujahid 4 Ahmad, Junaid 4 Ariza-Ruiz, David 4 Cho, Yeol Je 4 Chuadchawna, Preeyalak 4 de la Sen, Manuel 4 Fernández-León, Aurora 4 He, Pengfei 4 Kadji, Albert 4 Kaewcharoen, Anchalee 4 Kim, Jong Kyu 4 Kowalski, Tomasz 4 Kühr, Jan 4 Laowang, Worawut 4 Motamed, Somayeh 4 Mureşan, Claudia 4 Nanjaras, Bancha 4 Paad, Akbar 4 Pakkaranang, Nuttapol 4 Piciu, Dana 4 Pischke, Nicholas 4 Postolache, Mihai 4 Rachůnek, Jiří 4 Rasouli, Saeed 4 Rezaei, Gh. R. 4 Şahin, Aynur 4 Sriwongsa, Songpon 4 Suantai, Suthep 4 Torkzadeh, Lida 4 Ullah, Kifayat 3 Aggarwal, Sajan 3 Arshad, Muhammad 3 Bačák, Miroslav 3 Bërdëllima, Arian 3 Bin Dehaish, Buthinah Abdullatif 3 Botur, Michal 3 Chan, Chi Kin 3 Dinis, Bruno 3 Eslami, Esfandiar 3 Hussain, Nawab 3 Kalsoom, Amna 3 Kang, Shin Min 3 Kirk, William Arthur 3 Kohsaka, Fumiaki 3 Ma, Xueling 3 Meseguer Guaita, José 3 Pant, Rajendra 3 Piątek, Bożena 3 Roşu, Grigore 3 Safarik, Pavol 3 Sakure, Kavita 3 Šalounová, Dana 3 Shukla, Rahul 3 Tonga, Marcel 3 Yao, Jen-Chih 3 Zhang, Xiongwei 3 Zhao, Liangcai 2 Abdou, Afrah Ahmad Noan 2 Abkar, Ali 2 Agliano, Paolo 2 Alfuraidan, Monther Rashed ...and 348 more Authors all top 5 Cited in 145 Serials 43 Fixed Point Theory and Applications 38 Soft Computing 19 Fuzzy Sets and Systems 13 Journal of Mathematical Analysis and Applications 10 Numerical Functional Analysis and Optimization 10 Journal of Inequalities and Applications 10 Journal of Fixed Point Theory and Applications 10 Afrika Matematika 9 Mathematica Slovaca 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Annals of Pure and Applied Logic 7 Abstract and Applied Analysis 7 Thai Journal of Mathematics 7 Journal of Nonlinear Science and Applications 6 Information Sciences 6 Numerical Algorithms 5 Computers & Mathematics with Applications 5 Advances in Mathematics 5 Applied Mathematics and Computation 5 International Journal of Mathematics and Mathematical Sciences 5 Studia Logica 5 Bulletin of the Section of Logic 5 Mathematical Logic Quarterly (MLQ) 5 Journal of Convex Analysis 5 Nonlinear Functional Analysis and Applications 5 Open Mathematics 4 Algebra Universalis 4 Demonstratio Mathematica 4 Ergodic Theory and Dynamical Systems 4 Optimization 4 Archive for Mathematical Logic 4 Optimization Methods & Software 4 Oberwolfach Reports 4 Optimization Letters 3 Journal of Optimization Theory and Applications 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Transactions of the American Mathematical Society 3 Communications in Contemporary Mathematics 3 Journal of Applied Mathematics 3 Mediterranean Journal of Mathematics 3 Iranian Journal of Fuzzy Systems 3 Mathematical Sciences 3 Journal of Mathematics 3 Journal of Function Spaces 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Journal of Pure and Applied Algebra 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Information and Computation 2 Mathematica Bohemica 2 Journal of Global Optimization 2 International Journal of Computer Mathematics 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Filomat 2 The Bulletin of Symbolic Logic 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Kragujevac Journal of Mathematics 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Journal of Intelligent and Fuzzy Systems 2 Proyecciones 2 Logical Methods in Computer Science 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Logic and Analysis 2 Advances in Mathematical Physics 2 Applied General Topology 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Algebraic Systems 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 The Journal of Symbolic Logic 1 Kybernetika 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Ricerche di Matematica 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of the Nigerian Mathematical Society 1 Formal Aspects of Computing 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Optimization 1 The Journal of Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Documenta Mathematica 1 Journal of Applied Analysis ...and 45 more Serials all top 5 Cited in 35 Fields 231 Operator theory (47-XX) 183 Mathematical logic and foundations (03-XX) 171 General topology (54-XX) 126 Order, lattices, ordered algebraic structures (06-XX) 30 Numerical analysis (65-XX) 25 Operations research, mathematical programming (90-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Functional analysis (46-XX) 17 Differential geometry (53-XX) 10 General algebraic systems (08-XX) 10 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year