@Article{Akimovič 1972, author="V. A. Akimovič ", title="The uniform convexity and uniform smoothness of Orlicz spaces", journal="(Russian) Teor. Funkciĭ Funkcional. Anal. i Priložen.", year="1972", pages="114--121", volume="15" } @Article{Bachar2015, author="M. Bachar, M. A. Khamsi ", title="Fixed points of monotone mappings and application to integral equations", journal="Fixed Point Theory Appl.", year="2015", pages="7 pages", volume="2015" } @Article{Banach 1922, author="S. Banach ", title="Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrales", journal="Fund. Math.", year="1922", pages="133--181", volume="3" } @Article{Dehaish2012, author="B. A. Bin Dehaish, W. M. Kozlowski", title="Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces", journal="Fixed Point Theory Appl.", year="2012", pages="23 pages", volume="2012" } @Article{Browder 1965, author="F. E. Browder ", title="Nonexpansive nonlinear operators in a Banach space", journal="Proc. Nat. Acad. Sci. U.S.A.", year="1965", pages="1041--1044", volume="54" } @Article{Chen 1996, author="S. Chen ", title="Geometry of Orlicz spaces ", journal="With a preface by Julian Musielak, Dissertationes Math. (Rozprawy Mat.)", year="1996", pages="204 pages", volume="356" } @Article{El-Sayed2002, author="S. M. El-Sayed, A. C. M. Ran", title=" On an iteration method for solving a class of nonlinear matrix equations", journal="SIAM J. Matrix Anal. Appl.", year="2002", pages="632--645", volume="23" } @Article{Garkavi1962, author="A. L. Garkavi", title="On the optimal net and best cross-section of a set in a normed space", journal="(Russian) Izv. Akad. Nauk SSSR Ser. Mat.", year="1962", pages="87--106", volume="26" } @Book{Goebel1990, author="K. Goebel, W. A. Kirk", title="Topics in metric fixed point theory ", year="1990", publisher="Cambridge Studies in Advanced Mathematics, Cambridge University Press", address="Cambridge" } @Article{Göhde1965, author="D. Göhde", title="Zum Prinzip der kontraktiven Abbildung", journal="(German) Math. Nachr.", year="1965", pages="251--258", volume="30" } @Article{Hudzik1996, author="H. Hudzik, A. Kamińska, M. Masty lo ", title="Geometric properties of some Caldern-Lozanovski spaces and Orlicz-Lorentz spaces ", journal="Houston J. Math.", year="1996", pages="639--663", volume="22" } @Article{Ishikawa1976, author="S. Ishikawa", title=" Fixed points and iteration of a nonexpansive mapping in a Banach space", journal="Proc. Amer. Math. Soc.", year="1976", pages="65--71", volume="59" } @Article{Kamińska1982, author="A. Kamińska", title="On uniform convexity of Orlicz spaces ", journal="Nederl. Akad. Wetensch. Indag. Math.", year="1982", pages="27--36", volume="44" } @Book{Khamsi2001, author="M. A. Khamsi, W. A. Kirk", title="An introduction to metric spaces and fixed point theory ", year="2001", publisher="Pure and Applied Mathematics, Wiley-Interscience", address="New York" } @Article{Khamsi2010, author="M. A. Khamsi, W. M. Kozlowski ", title="On asymptotic pointwise contractions in modular function spaces", journal="Nonlinear Anal.", year="2010", pages="2957--2967", volume="73" } @Book{Khamsi2015, author="M. A. Khamsi, W. M. Kozlowski", title=" Fixed point theory in modular function spaces", year="2015", publisher="With a foreword by W. A. Kirk. Birkhäuser/Springer", address="Cham" } @Article{Khamsi1991, author="M. A. Khamsi, W. M. Kozlowski, S. T. Chen", title="Some geometrical properties and fixed point theorems in Orlicz spaces", journal="J. Math. Anal. Appl.", year="1991", pages="393--412", volume="155" } @Article{Khamsi1990, author="M. A. Khamsi, W. M. Kozlowski, S. Reich", title="Fixed point theory in modular function spaces", journal="Nonlinear Anal.", year="1990", pages="935--953", volume="14" } @Book{Kozlowski1988, author="W. M. Kozlowski", title=" Modular function spaces", year="1988", publisher="Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc.", address="New York" } @Article{Krasnoselskiĭ 1955, author="M. A. Krasnoselskiĭ ", title="Two remarks on the method of successive approximations", journal="(Russian) Uspehi Mat. Nauk (N.S.)", year="1955", pages="123--127", volume="10" } @Book{Krasnoselskiĭ1961, author="M. A. Krasnoselskiĭ, J. B. Rutickiĭ", title="Convex functions and Orlicz spaces", year="1961", publisher="Translated from the first Russian edition by Leo F. Boron, P. Noordhoff Ltd.", address="Groningen" } @Article{Luxemburg 1955, author="W. A. J. Luxemburg ", title="Banach function spaces", journal="Thesis, Technische Hogeschool te Delft", year="1955", pages="70 pages", volume="1955" } @Article{Milnes1957, author="H. W. Milnes", title="Convexity of Orlicz spaces", journal="Pacific J. Math.", year="1957", pages="1451--1486", volume="7" } @Article{Nieto2005, author="J. J. Nieto, R. Rodríguez-López", title="Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations", journal="Order", year="2005", pages="223--239", volume="22" } @Article{Ran2004, author="A. C. M. Ran, M. C. B. Reurings", title="A fixed point theorem in partially ordered sets and some applications to matrix equations", journal="Proc. Amer. Math. Soc.", year="2004", pages="1435--1443", volume="132" } @Article{Schu1991, author="J. Schu", title="Weak and strong convergence to fixed points of asymptotically nonexpansive mappings", journal="Bull. Austral. Math. Soc.", year="1991", pages="153--159", volume="43" } @Article{Zizler 1971, author="V. Zizler ", title="On some rotundity and smoothness properties of Banach spaces", journal="Dissertationes Math. Rozprawy Mat.", year="1971", pages="33 pages", volume="87" }