[1] R.P. Agarwal, M. Meehan and D. O’Regan, Fixed Point Theory and Applications, Cambridge university press, Cambridge, 2001.
[2] D. Bailey, Krasnoselski’s theorem on the real line, The American Mathematical Monthly, 81(5)(1974), pp. 506-507.
[3] V. Berinde and F. Takens, Iterative Approximation of Fixed Points, Springer, Berlin, 1912, 2007.
[4] D. Borwein, J. Borwein, Fixed point iterations for real functions, J. Appl. Math. Anal. Appl., 157 (1) (1991), pp. 112-126.
[5] M. Edelstein, A remark on a theorem of M. A. Krasnoselski, Amer. Math. Monthly, 73 (1966), pp. 509-510.
[6] M. Edelstein and R.C. O’Brien, Nonexpansive mappings, asymptotic regularity and successive approximations, J. Lond. Math. Soc., II. Ser., 2 (3) (1978), pp. 547-554.
[7] J.F. Epperson, An Introduction to Numerical Methods and Analysis, John Wiley\& Sons, Inc, 2021.
[8] V. S. Erturk, A. Ali, K. Shah, P. Kumar, and T. Abdeljawad, Existence and stability results for nonlocal boundary value problems of fractional order, Bound. Value Probl., 2022 (1), pp. 1-15.
[9] A. Granas and J. Dugundji, Elementary Fixed Point Theorems, Springer, New York, 2003.
[10] B.P. Hillam, A generalization of krasnoselski’s theorem on the real line, Math. Mag., 48 (3) (1975), pp. 167-168.
[11] W. Kirk, Nonexpansive mappings and asymptotic regularity, Nonlinear Anal., Theory Methods Appl., 40 (1-8) (2000), pp. 323-332.
[12] M. Krasnoselskii, Two observations about the method of successive approximations uspehi math, Appl. Math. Comput., 10 (1) (1955), pp. 123-127.
[13] H. Monfared, M. Asadi and A. Farajzadeh, New Generalization of Darbo's fixed-Point theorem via $ alpha $-admissible simulation Functions with application, Sahand Commun. Math. Anal., 17 (2) (2020), pp. 161-171.
[14] A. Najafi-A, Unification of well-known numeric methods for solving nonlinear equations, American journal of numerical analysis, 3 (3) (2015), pp. 65-76.
[15] W. Rudin, Principles of Mathematical Analysis, McGraw-hill, New York, 1976.
[16] K. Shah, T. Abdeljawad1, B. Abdalla1 and M. Abualrub, Utilizing fixed point approach to investigate piecewise equations with non-singular type derivative, AIMS Math, 7 (8) (2022), pp. 14614-14630.
[17] K. Shah, M. Arfan, A. Ullah, Q. Al-Mdallal, K.J. Ansari and T. Abdeljawad, Computational study on the dynamics of fractional order differential equations with applications, Chaos Solitons Fractals, 157, 111955, (2022).
[18] P.V. Subrahmanyam, Elementary Fixed Point Theorems, Springer, Berlin, 2018.
[19] E. Suli and D.F. Mayers, An Introduction to Numerical Analysis, Cambridge university press, Cambridge, 2003.
)
