Dr Walter Kozlowski

Dr Walter Kozlowski

Adjunct Associate Professor

Ph.D., Jagiellonian University, Krakow, Poland (1981)

Doctor of Letters, A. Mickiewicz University, Poznan, Poland (2016)

Science
School of Mathematics & Statistics

Dr Walter Kozlowski (publishing  as Wojciech M. Kozlowski) has been actively involved in research activities in mathematics and applications since the 1980s with a particular interest in functional analysis, fixed point theory and applications. A Fulbright scholar, an author of two monographic books “Modular Function Spaces” (Dekker 1988) and "Fixed Points of Semigroups of Pointwise Lipschitzian Operators. A Nonexpansive and Asymptotic Approach" (Springer Nature 2025), a co-author of “Fixed Point Theory in Modular Function Spaces” (Springer Cham 2015), and author of numerous scientific papers, he has held several academic posts at the universities around the world, currently as an Adjunct A-Professor at the School of Mathematics and Statistics of the University of New South Wales. In parallel, he has been pursuing a professional career in Information and Communication Technology, recently as the Principal of Architecture at Telstra network cloud ad member of Linux Foundation Networking Governing Board.

Mobile
+61 407 724 612
Phone
9385 7118
Location
School of Mathematics and Statistics UNSW Sydney NSW 2052 The Red Centre Room 5102
  • Books | 2015
    Khamsi MA; Kozlowski WM, 2015, Fixed Point Theory in Modular Function Spaces, Birkhäuser
    Books | 1988
    Kozlowski WM, 1988, Modular Function Spaces, Marcel Dekker, New York and Basel
  • Book Chapters | 2021
    Kozlowski W, 2021, 'On monotone mappings in modular function spaces', in Cho YC; Jleli M; Samet B; Vetro C (ed.), Advances in Metric Fixed Point Theory and Applications, Springer, Singapore, pp. 217 - 240
    Book Chapters | 2015
    Kozlowski WM, 2015, 'On the Cauchy Problem for the Nonlinear Differential Equations with Values in Modular Function Spaces', in Shahid MH; Ahmad S (ed.), Differential Geometry, Functional Analysis and Applications, pp. 75 - 105
    Book Chapters | 2014
    Kozlowski WW, 2014, 'An Introduction to Fixed Point Theory in Modular Function Spaces', in Almezel S; Ansari QH; Khamsi MA (ed.), Topics in Fixed Point Theory, Springer International Publishing, pp. 159 - 222
    Book Chapters | 2013
    Kozlowski WM; Sims B, 2013, 'On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces', in Springer Proceedings in Mathematics & Statistics, Springer New York, pp. 463 - 484, http://dx.doi.org/10.1007/978-1-4614-7621-4_22
  • Journal articles | 2025
    Kozlowski WM, 2025, 'A Note on Implicit Iteration Processes', Bulletin of the Australian Mathematical Society, http://dx.doi.org/10.1017/S0004972725000292
    Journal articles | 2025
    Kozlowski WM, 2025, 'Stability of iteration processes weakly convergent to stationary points of semigroups of nonlinear operators', Rendiconti Del Circolo Matematico Di Palermo, 74, http://dx.doi.org/10.1007/s12215-024-01160-x
    Journal articles | 2024
    Kozlowski W, 2024, 'A NOTE ON A FIXED POINT THEOREM IN MODULATED LTI-SPACES', Applied Set-Valued Analysis and Optimization, 6 (2024), pp. 31 - 39, http://dx.doi.org/10.23952/asvao.6.20245.1.03
    Journal articles | 2024
    Kozlowski W, 2024, 'A note on the continuity of invariant operators', Communications in Optimization Theory, 2024, http://dx.doi.org/10.23952/cot.2024.10
    Journal articles | 2024
    Kozlowski WM; Vinti G, 2024, 'On approximation by rational functions in Musielak–Orlicz spaces', Journal of Approximation Theory, 304, http://dx.doi.org/10.1016/j.jat.2024.106083
    Journal articles | 2024
    Kozlowski WM, 2024, 'Convergence of Implicit Iterative Processes for Semigroups of Nonlinear Operators Acting in Regular Modular Spaces', Mathematics, 12, http://dx.doi.org/10.3390/math12244007
    Journal articles | 2024
    Kozlowski WM, 2024, 'Modular version of Goebel-Kirk theorem', Topological Methods in Nonlinear Analysis, pp. 1 - 16, http://dx.doi.org/10.12775/tmna.2023.059
    Journal articles | 2023
    Kozlowski WM, 2023, 'CONTRACTIVE SEMIGROUPS IN TOPOLOGICAL VECTOR SPACES, ON THE 100TH ANNIVERSARY OF STEFAN BANACH'S CONTRACTION PRINCIPLE', Bulletin of the Australian Mathematical Society, 108, pp. 331 - 338, http://dx.doi.org/10.1017/S0004972722001629
    Journal articles | 2021
    Kozlowski WMW, 2021, 'On modular approximants in sequential convergence spaces', Journal of Approximation Theory, 264, pp. 105535 - 105535, http://dx.doi.org/10.1016/j.jat.2020.105535
    Journal articles | 2020
    Kozlowski W, 2020, 'Normal structure in modulated topological vector spaces', Commentationes Mathematicae, 60, pp. 1 - 11
    Journal articles | 2020
    Kozlowski WM, 2020, 'On modulated topological vector spaces and applications', Bulletin of the Australian Mathematical Society, 101, pp. 325 - 332, http://dx.doi.org/10.1017/S0004972719000716
    Journal articles | 2019
    Kozlowski WM, 2019, 'On the construction algorithms for the common fixed points of the monotone nonexpanisve semigroups', Journal of Nonlinear and Convex Analysis, 20, pp. 2119 - 2131
    Journal articles | 2018
    Kozlowski WM; Bachar M; Bounkhel M, 2018, 'Common fixed points of monotone Lipschitzian semigroups in hyperbolic metric spaces', Journal of Nonlinear and Convex Analysis, pp. 987 - 994
    Journal articles | 2018
    Kozlowski WM, 2018, 'Monotone Lipschitzian semigroups in Banach spaces', Journal of the Australian Mathematical Society, 105, pp. 417 - 428, http://dx.doi.org/10.1017/S1446788717000362
    Journal articles | 2017
    Bachar M; Khamsi MA; Kozlowski WM; Bounkhel M, 2017, 'Common fixed points of monotone Lipschitzian semigroups in Banach spaces', Journal of Nonlinear Sciences and Applications, 11, pp. 73 - 79, http://dx.doi.org/10.22436/jnsa.011.01.06
    Journal articles | 2017
    KOZLOWSKI WM, 2017, 'A PURELY METRIC PROOF OF THE CARISTI FIXED POINT THEOREM', Bulletin of the Australian Mathematical Society, 95, pp. 333 - 337, http://dx.doi.org/10.1017/s0004972716000800
    Journal articles | 2015
    Bin Dehaish BA; Khamsi MA; Kozlowski WM, 2015, 'On the convergence of iteration processes for semigroups of nonlinear mappings inmodular function spaces', Fixed Point Theory and Applications, 2015, http://dx.doi.org/10.1186/1687-1812-2015-3
    Journal articles | 2015
    Kozlowski WM, 2015, 'On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces', Journal of Mathematical Analysis and Applications, 426, pp. 1182 - 1191, http://dx.doi.org/10.1016/j.jmaa.2015.02.021
    Journal articles | 2014
    Alsulami SM; Kozlowski WM, 2014, 'On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces', Fixed Point Theory and Applications, 2014, http://dx.doi.org/10.1186/1687-1812-2014-4
    Journal articles | 2014
    Kozlowski WM, 2014, 'On common fixed points of semigroups of mappings nonexpansive with respect to convex function modulars', Journal of Nonlinear and Convex Analysis, 15, pp. 437 - 449
    Journal articles | 2014
    Kozlowski WW, 2014, 'Strong convergence of implicit iteration processes for nonexpansive semigroups in Banach spaces', Commentationes Mathematicae - Prace Matematyczne, 54, pp. 203 - 208, http://dx.doi.org/10.14708/cm.v54i2.703
    Journal articles | 2013
    Bin Dehaish BA; Khamsi MA; Kozlowski WM; Kozlowski W, 2013, 'Common fixed points for pointwise Lipschitzian semigroups in modular function spaces', Fixed Point Theory and Algorithms for Sciences and Engineering, 2013, pp. 214, http://dx.doi.org/10.1186/1687-1812-2013-214
    Journal articles | 2013
    Kozlowski WM, 2013, 'On Nonlinear Differential Equations in Generalized Musielak-Orlicz Spaces', Commentationes Mathematicae, 53, http://dx.doi.org/10.14708/cm.v53i2.779
    Journal articles | 2013
    Kozlowski WWM, 2013, 'Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces', Nonlinear Analysis - Theory Methods and Applications, 84, pp. 50 - 60, http://dx.doi.org/10.1016/j.na.2013.02.003
    Journal articles | 2012
    Kozlowski WM, 2012, 'Advancements in fixed point theory in modular function spaces', Arabian Journal of Mathematics, 1, pp. 477 - 494, http://dx.doi.org/10.1007/s40065-012-0051-0
    Journal articles | 2012
    Kozlowski WM, 2012, 'On the construction of common fixed points for semigroups of nonlinear mappings in uniformly convex and uniformly smooth Banach spaces', Comment. Math., pp. 113 - 136
    Journal articles | 2011
    Khamsi M; Kozlowski WWM, 2011, 'On asymptotic pointwise nonexpansive mappings in modular function spaces', Journal of Mathematical Analysis and Applications, 380, pp. 697 - 708, http://dx.doi.org/10.1016/j.jmaa.2011.03.031
    Journal articles | 2011
    Kozlowski WWM, 2011, 'Common fixed points for semigroups of pointwise Lipschitzian mappings in Banach spaces', Bulletin of the Australian Mathematical Society, 84, pp. 353 - 361, http://dx.doi.org/10.1017/S0004972711002668
    Journal articles | 2011
    Kozlowski WWM, 2011, 'Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces', Journal of Mathematical Analysis and Applications, 377, pp. 43 - 52, http://dx.doi.org/10.1016/j.jmaa.2010.10.026
    Journal articles | 2011
    Kozlowski WWM, 2011, 'On the existence of common fixed points for semigroups of nonlinear mappings in modular function spaces', Commentationes Mathematical Universitatis Carolinae, 51, pp. 81 - 98
    Journal articles | 2010
    Khamsi MA; Kozlowski WWM, 2010, 'On asymptotic pointwise contractions in modular function spaces', Nonlinear Analysis - Theory Methods and Applications, 73, pp. 2957 - 2967, http://dx.doi.org/10.1016/j.na.2010.06.061
    Journal articles | 1991
    Khamsi MA; Kozlowski WM; Shutao C, 1991, 'Some geometrical properties and fixed point theorems in Orlicz spaces', Journal of Mathematical Analysis and Applications, 155, pp. 393 - 412, http://dx.doi.org/10.1016/0022-247x(91)90009-o
    Journal articles | 1991
    Kozlowski WM; Kilmer S; Lewicki G, 1991, 'Sigma order continuity and best approximants in L – spaces', Commentationes Mathematicae Universitatis Carolinae
    Journal articles | 1991
    Kozlowski WM, 1991, 'On some properties of sets of best approximants in Musielak-Orlicz spaces', Comment. Math., 31, pp. 59 - 71
    Journal articles | 1990
    Kilmer SJ; Kozlowski WM; Lewicki G, 1990, 'Best approximants in modular function spaces', Journal of Approximation Theory, 63, pp. 338 - 367, http://dx.doi.org/10.1016/0021-9045(90)90126-b
    Journal articles | 1990
    Kozlowski WM; Khamsi MA; Reich S, 1990, 'Fixed point theory in modular function spaces', Nonlinear Analysis, 14, pp. 935 - 953
    Journal articles | 1989
    Kozlowski WM; Lewicki G, 1989, 'Analyticity and polynomial approximation in modular function spaces', Journal of Approximation Theory, 58, pp. 15 - 35, http://dx.doi.org/10.1016/0021-9045(89)90004-x
    Journal articles | 1989
    Kozlowski WM, 1989, 'On domains of some nonlinear operators', Journal of Mathematical Analysis and Applications, 139, pp. 243 - 267, http://dx.doi.org/10.1016/0022-247x(89)90242-4
    Journal articles | 1988
    Kozlowski W, 1988, 'Notes on modular function spaces II', Comment. Math., pp. 105 - 120
    Journal articles | 1988
    Kozlowski WM, 1988, 'Notes on modular function spaces I', Comment. Math., pp. 91 - 91
    Journal articles | 1981
    Kozlowski WM, 1981, 'A note on the Hammerstein operator in Kothe spaces', Prace Matematyczne UJ, 22, pp. 147 - 150
    Journal articles | 1980
    Kozlowski WM; Szczypinski T, 1980, 'Some remarks on the nonlinear operator measures and integration', Coll. Math. Soc. Jan. Bolyai, 35, pp. 751 - 756
    Journal articles | 1980
    Kozlowski WM, 1980, 'A note on the continuity of nonlinear operators', Coll. Math. Soc. Jan. Bolyai, pp. 745 - 750
    Journal articles | 1980
    Kozlowski WM, 1980, 'Nonlinear operators in Banach function spaces', Comment. Math., 22, pp. 85 - 103
    Journal articles | 1980
    Kozlowski WM, 1980, 'Principal coordinates analysis and its application in synecology', Wiadomosci Ekologiczne, 26, pp. 265 - 277
  • Preprints | 2024
    Kozlowski WM, 2024, Convergence of Implicit Iterative Processes for Semigroups of Nonlinear Operators Acting in Regular Modular Spaces, http://dx.doi.org/10.20944/preprints202411.2397.v1
    Conference Papers | 1986
    Kozlowski WM; Lewicki G, 1986, 'On polynomial approximation in modular function spaces', in Musielak J (ed.), Function Spaces, Teubner-Texte zur Mathematik, Poznan, pp. 63 - 68, presented at International Conference on Function Spaces and Approximation, Poznan, 25 August 1986 - 30 August 1986
    Conference Papers | 1981
    Kozlowski WM, 1981, 'Convergence theorems for integrals with respect to nonlinear operator measures', in Constructiv1986, Bulgarian Academy of Sciences, Sofia 1983, Varna, Bulgaria, pp. 389 - 392, presented at Function Theory 1981, Varna, Bulgaria, -
    Conference Papers | 1979
    Kozlowski WM, 1979, 'Boundedness of G-dominated nonlinear operators', in Ciesielski Z (ed.), Approximation and Function Spaces,, North Holland, Gdansk, presented at Approximation and Function Spaces, Gdansk

Fulbright Scholarship, California Institute of Technology, Pasadena, CA, USA (1986 - 1988)