Wersja polska Wersja polska
Full Professor
Jacek Jachymski

Division: Zakład zastosowań współczesnej analizy matematycznej
Room: 142
Phone: (+48) 42 631-36-21
e-mail: jacek.jachymski@p.lodz.pl
Consultations:

PhD students:

  • Jakub Klima, Twierdzenia o punktach stałych dla przekształceń stożkowych przestrzeni metrycznych, 2017
  • Filip Strobin, Generyczność i porowatość pewnych klas odwzorowań ciągłych przestrzeni metrycznych, 2011
  • Gwóźdź-Łukawska Gertruda, Zbiory niezmiennicze skończonych i nieskończonych iterowanych układów odwzorowań, 2009
  • Jóźwik Izabela, Nieliniowe warunki zwężania dla przekształceń przestrzeni metrycznych, 2006

Scientific publications

  • Jacek Jachymski, Jakub Klima, Around Perov's fixed point theorem for mappings on generalized metric spaces, Fixed Point Theory (25 pkt.), 17 (2016), 367-380, JCR
  • Jacek Jachymski, Jakub Klima, Cantor's intersection theorem for K-metric spaces with a solid cone and a contraction principle, Journal of Fixed Point Theory and Applications (25 pkt.), 18 (2016), 445-463, JCR
  • Jacek Jachymski, Remetrizaton theorems for finite families of mappings and hyperbolic iterated function systems, Contemp. Math., 636 (2015), 131-139
  • Jacek Jachymski, A Cantor type intersection theorem for superreflexive Banach spaces and fixed points of almost affine mappings, J. Nonlinear Convex Anal., 16 (2015), 1055-1068, JCR
  • Jacek Jachymski, Remetrization theorems for infinite families of nonlinear mappings, and generalized joint spectral radius, J. Nonlinear Convex Anal., 15 (2) (2014), 399-409, JCR
  • Jacek Jachymski, A stationary point theorem characterizing metric completeness., Appl. Math. Lett., 24 (2011), 169–171, JCR
  • Jacek Jachymski, Equivalent conditions for generalized contractions on (ordered) metric spaces., Nonlinear Anal., 74 (2011), 768–774, JCR
  • Jacek Jachymski, On probabilistic phi-contractions on Menger Spaces, Nonlinear Anal., 73 (2010), 2199-2203, JCR
  • Jacek Jachymski, Around Browder's fixed point theorem for contractions, J. Fixed Point Theory Appl., 5 (2009), 47-61, JCR
  • Jacek Jachymski, A note on a paper of I.D.Arandelović on asymptotic contractions, J. Math. Anal. Appl., 358 (2009), 491-492, JCR
  • Jacek Jachymski, Gwóźdź-Łukawska G., IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem, J. Math. Anal. Appl., 356 (2009), 453-463, JCR
  • Jacek Jachymski, Remarks on contractive conditions of integral type, Nonlinear Anal., 71 (2009), 1073-1081, JCR
  • Jacek Jachymski, Convergence of iterates of linear operators and the Kelisky-Rivlin type theorems, Studia Math., 195 (2009), 99-112, JCR
  • Jacek Jachymski, König chains for submultiplicative functions and infnite products of operators, Trans. Amer. Math. Soc., 361 (2009), 5967-5981, JCR
  • Jacek Jachymski, The contraction principle for mappings on a metric space with a graph, Proc. Amer. Math. Soc., 136 (2008), 1359-1373, JCR
  • Jacek Jachymski, Izabela Jóźwik, Nonlinear contractive conditions: A comparison and related problems, Banach Center Publ., 77 (2007), 123-146
  • Gwóźdź-Łukawska G., Jacek Jachymski, The Hutchinson-Barnsley theory for infinite iterated function systems, Bull. Aust. Math. Soc., 72 (2005), 441-454, JCR
  • Jacek Jachymski, A covering criterion and its applications to product theorems, Comment. Math., 45 (2005), 35-43
  • Jacek Jachymski, Monika Lindner, Sebastian Lindner, On Cauchy type characterizations of continuity and Baire one functions, Real Anal. Exchange, 30 (2005), 339-346
  • Jacek Jachymski, A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spacer, Studia Math., 170 (2005), 303-320, JCR
  • Jacek Jachymski, A discrete fixed point theorem of Eilenberg as a particular case of the Contraction Principle, Fixed Point Theory Appl., 1 (2004), 31-36, JCR
  • Jacek Jachymski, Izabela Jóźwik, On Kirk's asymptotic contractions, J. Math. Anal. Appl., 300 (2004), 147-159, JCR
  • Jacek Jachymski, General solutions of two functional inequalities and converses to contraction theorems, Bull. Pol. Acad. Sci. Math., 51 (2003), 2003
  • Jacek Jachymski, Converses to fixed point theorems of Zermelo and Caristi, Nonlinear Anal., 52 (2003), 1455-1463, JCR
  • Jacek Jachymski, Another proof of the Browder-Gohde-Kirk theorem via ordering argument, Bull. Austral. Math. Soc., 65 (2002), 105-107, JCR
  • Lesław Gajek, Jacek Jachymski, Piotr Pokarowski, The Tarski-Kantorovitch principle and the theory of iterated function systems, Bull. Austral. Math. Soc., 61 (2000), 247-261, JCR
  • Jacek Jachymski, A short proof of the converse to the Contraction Principle, and some related results, Topological Methods in Nonlinear Analysis, 15 (2000), 179-186, JCR
  • Jacek Jachymski, On iterative equivalence of some classes of mappings, Annales Mathematicae Silesianae, 13 (1999), 149-165
  • Jacek Jachymski, Bernd S. W. Schróder, James D. Stein, A connection between fixed-point theorems and tiling problems, Journal of Combinatorial Theory, Series A, 87 (1999), 273-286, JCR
  • Jacek Jachymski, James D. Stein, Jr., A minimum condition and some related fixed point theorems, Journal of the Australian Mathematical Society Series A, 66 (1999), 224-243, JCR
  • Jacek Jachymski, Remarks on a paper by Beg, Latif and Minhas about fixed points, Demonstratio Math., 31 (1998), 333-338
  • Jacek Jachymski, Caristi's fixed point theorem and selections of set-valued contractions, J. Math. Anal. Appl., 227 (1998), 55-67, JCR
  • Jacek Jachymski, Another proof of the Markov-Kakutani theorem and an extension, Mathematica Japonica, 47 (1998), 19-20
  • Jacek Jachymski, Fixed point theorems in metric and uniform spaces via the Knaster Tarski Principle, Nonlinear Analysis - Theory, Methods & Applications, 32 (1998), 225-233, JCR
  • Jacek Jachymski, Some consequences of the Tarski-Kantorovitch ordering theorem in metric fixed point theory, Quaestiones Mathematicae 21 no. 1&2, 21 (1998), 89-99
  • Jacek Jachymski, An extension of A. Ostrowski's theorem on the round-off stability of iterations, Aequationes Mathematicae, 53 (1997), 242-253
  • Jacek Jachymski, Some consequences of fundamental ordering principles in metric fixed point theory, Annales Universitatis Mariae Curie-Sklodowska (Sectio A), 51 (1997), 123-134
  • Jacek Jachymski, Graphs and common fixed point theorems for sequences of maps, International Journal of Mathematics & Mathematical Sciences, 20 (1997), 567-572
  • Jacek Jachymski, Equivalence of some contractivity properties over metrical structures, Proc. Amer. Math. Soc., 125 (1997), 2327-2335, JCR
  • Jacek Jachymski, An abstract common fixed point principle and its applications, Bull. Austral. Math. Soc., 53 (1996), 13-19, JCR
  • Jacek Jachymski, Continuous dependence of attractors of iterated function systems, J. Math. Anal. Appl., 198 (1996), 221-226, JCR
  • Jacek Jachymski, Equivalent conditions involving common fixed points for maps on the unit interval, Proc. Amer. Math. Soc., 124 (1996), 3229-3233, JCR
  • Jacek Jachymski, On Reich's question concerning fixed points of multimaps, Bollettino della Unione Matematica Italiana (7), 9-A (1995), 453-460
  • Jacek Jachymski, Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 194 (1995), 293-303, JCR
  • Lesław Gajek, Jacek Jachymski, Dariusz Zagrodny, Fixed point and approximate fixed point theorems for non-affine maps, Journal of Applied Analysis, 1 (1995), 205-211
  • Jacek Jachymski, Janusz Matkowski, Tadeusz Światkowski, Nonlinear contractions on semimetric spaces, Journal of Applied Analysis, 1 (1995), 125-134
  • Lesław Gajek, Jacek Jachymski, Dariusz Zagrodny, Projections, extendability of operators and the Gateaux derivative of the norm, Journal of Applied Analysis, 1 (1995), 29-38
  • Jacek Jachymski, Fixed points of maps with a contractive iterate at a point, Mathematica Balkanica (N. S.), 9 (1995), 243-254
  • Jacek Jachymski, Fixed point theorems for expansive mappings, Mathematica Japonica, 42 (1995), 131-136
  • Jacek Jachymski, On two questions of Tadeusz Świątkowski concerning generalizations of the Weierstrass-Stone and the Dini theorems, Zeszyty Naukowe Politechniki Lodzkiej, Matematyka, 27 (1995), 49-55
  • Jacek Jachymski, An iff fixed point criterion for continuous self-mappings of a complete metric space, Aequationes Mathematicae, 48 (1994), 163-170, JCR
  • Jacek Jachymski, On Isac's fixed point theorem for selfmaps of a Galerkin cone, Annales des Sciences Mathematiques du Quebec, 18 (1994), 169-171
  • Jacek Jachymski, Periodic points and equicontinuity of iterates of maps on the unit interval, Commentationes Mathematicae, 34 (1994), 95-98
  • Jacek Jachymski, Common fixed points for some families of maps, Indian Journal of Pure and Applied Mathematics, 25 (1994), 925-937
  • Jacek Jachymski, Ciric's contractions on quasi-metric spaces, Zeszyty Naukowe Politechniki Łódzkiej, Matematyka, 26 (1994), 31-36
  • Jacek Jachymski, Necessary and sufficient fixed point criteria involving attractors, Bull. Austral. Math. Soc., 48 (1993), 109-116, JCR
  • Jacek Jachymski, A generalization of the theorem by Rhoades and Watson for contractive type mappings, Mathematica Japonica, 38 (1993), 1095-1102
  • Jacek Jachymski, A contribution to fixed point theory in quasi-metric spaces, Publicationes Mathematicae Debrecen, 43 (1993), 283-288, JCR
  • Jacek Jachymski, On Cantor's theorem for weakly sequentially complete spaces, Zeszyty Naukowe Politechniki Łódzkiej, Matematyka, 19 (1986), 89-96
  • Jacek Jachymski, On systems of convolution equations on distributions, Zeszyty Naukowe Politechniki Łódzkiej, Matematyka, 17 (1984), 69-79

Books:

  • Jacek Jachymski, Order-theoretic aspects of metric fixed point theory , rozdzial w monografii "Handbook of metric fixed point theory", pod redakcją W.A. Kirka i B. Simsa, Kluwer Academic Publishers, Dordrecht, 2001

Other publications

  • Jacek Jachymski, Recenzja książki: Marcin Borkowski,Theory of Hyperconvex Metric Spaces. A Beginner’s Guide, Lecture Notes in Nonlinear Analysis, vol. Ï, Juliusz Schauder University Centre for Nonlinear Studies, Nicolaus Copernicus University, Torun,

Instytut Matematyki Wydział FTIMS Politechnika Łódzka, 90-924 Łódź, ul. Wólczańska 215, tel. 42 631-36-17, fax. 42 631-38-65