[1] D.D. Bainov, S. Hristova, Differential Equations with Maxima, Chapman & Hall/CRC Pure and Applied Mathematics, 2011.
[2] T.A. Burton, Integral equations, transformations, and a Krasnoselskii–Schaefer type fixed point theorem, Electron. J. Qual. Theory Differ. Equ., 66(2016), 1-13.
[3] T.A. Burton, Existence and uniqueness results by progressive contractions for integrodifferential equations, Nonlinear Dynamics and Systems Theory, 16(4)(2016), 366-371.
[4] T.A. Burton, An existence theorem for a fractional differential equation using progressive contractions, J. Fractional Calculus and Applications, 8(1)(2017), 168-172.
[5] T.A. Burton, A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions, Fixed Point Theory, 20(2019), no. 1, 107-112.
[6] C. Corduneanu, Abstract Volterra equations: A survey, Math. and Computer Model., 32(11-13)(2000), 1503-1528.
[7] M. Dobrit¸oiu, M.-A. S¸erban, Step method for a system of integral equations from biomathematics, Appl. Math. Comput., 227(2014), 412-421.
[8] A. Halanay, Differential Equations: Stability, Oscillations, Time Lags, Acad. Press, New York, 1966.
[9] V. Ilea, D. Otrocol, On the Burton method of progressive contractions for Volterra integral equations, Fixed Point Theory, 21(2020), no. 2, 585-594.
[10] V. Ilea, D. Otrocol, Functional differential equations with maxima, via step by step contraction principle, Carpathian J. Math., 37(2021), no. 2, 195-202.
[11] V. Ilea, D. Otrocol, I.A. Rus, M.A. S¸erban, Applications of fibre contraction principle to some classes of functional integral equations, Fixed Point Theory, 23(2022), no. 1, 279-292.
[12] D. Marian, S.A. Ciplea, N. Lungu, Optimal and nonoptimal Gronwall lemmas, Symmetry, 12(10)(2020), 1728.
[13] D. Otrocol, I.A. Rus, Functional-differential equations with “maxima” via weakly Picard operators theory, Bull. Math. Soc. Sci. Math. Roumanie, 51(99)(2008), no. 3, 253-261.
[14] D. Otrocol, I.A. Rus, Functional-differential equations with maxima of mixed type argument, Fixed Point Theory, 9(2008), no. 1, 207-220.
[15] D. Otrocol, M.A. S¸erban, An efficient step method for a system of differential equations with delay, J. Appl. Anal. Comput., 8(2018), no. 2, 498-508.
[16] A. Petru¸sel, I.A. Rus, On some classes of Fredholm-Volterra integral equations in two variables, Montes Taurus J. Pure Appl. Math., 4(3)(2022), 25-32.
[17] A. Petru¸sel, I.A. Rus, M.A. S¸erban, Some variants of fibre contraction principle and applications: From existence to the convergence of successive approximations, Fixed Point Theory, 22(2021), no. 2, 795-808.
[18] I.A. Rus, Generalized Contractions and Applications, Cluj University Press, 2001.
[19] I.A. Rus, Picard operators and applications, Sci. Math. Jpn., 58(2003), no. 1, 191-219.
[20] I.A. Rus, Cyclic representations and fixed points, Ann. T. Popoviciu Seminar of Functional Eq. Approx. Convexity, 3(2005), 171-178.
[21] I.A. Rus, Abstract models of step method which imply the convergence of successive approximations, Fixed Point Theory, 9(2008), no. 1, 293-307.
[22] I.A. Rus, Some nonlinear functional differential and integral equations, via weakly Picard operator theory: A survey, Carpathian J. Math., 26(2010), no. 2, 230-258.
[23] I.A. Rus, Some variants of contraction principle in the case of operators with Volterra property: Step by step contraction principle, Advances in the Theory of Nonlinear Analysis and its Applications, 3(2019), no. 3, 111-120.
[24] M.A. S¸erban, Saturated fibre contraction principle, Fixed Point Theory, 18(2017), no. 2, 729-740