참고문헌
- K. Aoyama, Y. Kimura, W. Takahashi and M. Toyoda, Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space, Nonlinear Anal., 67 (2007), 2350-2360.
- V. Berinde, Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction-displacement condition, Carpathian J. Math., 36(1) (2020), 27-34.
- V. Berinde, Approximating fixed points of enriched nonexpansive mappings by Krasnolselkii iteration in Hilbert spaces, Carpathian J. Math., 35(3) (2019), 277-288.
- E. Blum and W. Oettli, From optimization and variational inequalities, Math. Student, 63 (1994), 123-146.
- C. Byrne, A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Problems, 20(1) (2004), 103-120.
- Y. Censor, T. Borteld, B. Martin and A. Trofimov, A unified approach for inversion problems in intensity-modulated radiation therapy, Phys. Med. Biol., 51 (2006), 2353-2365.
- Y. Censor and T. Elfving, A multiprojection algorithm using Bregman projections in a product space, Numer. Algorithms. 8 (1994), 221-239.
- C.E. Chidume and C.O. Chidume, Iterative approximation of fixed points of nonexpansive mappings, J. Math. Anal. Appl., 318(1) (2006), 288-295.
- B. Halpern, Fixed points of nonexpanding mappings, Bull. Amer. Math. Soc., 73 (1967), 957-961.
- T. Igarashi, W. Takahashi and K. Tanaka, Weak convergence theorems for nonspreading mappings and equilibrium problems, in: S. Akashi, W. Takahashi, T. Tanaka (Eds.), Nonlinear Anal. Opti., (2009), 75-85.
- F. Kohsaka and W. Takahashi, Fixed point theorems for a class of nonlinear mappings relate to maximal monotone operators in Banach spaces, Arch. Math.,(Basel) 91 (2008), 166-177.
- F. Kohsaka and W. Takahashi, Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces, Siam J. Optim., 19 (2008), 824-835.
- Y. Kurokawa and W. Takahashi, Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces, Nonlinear Anal., 73 (2010), 1562-1568.
- S. Iemoto and W. Takahashi, Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space, Nonlinear Anal., 71 (2009), 2082-2089.
- E. Masad and S. Reich, A note on the multiple-set split convex feasibility problem in Hilbert space, J. Nonlinear Convex Anal., 8 (2007), 367-371.
- A. Moudafi, Krasnoselski-mann iteration for heirarchical fixed point problems, Inverse Problems, 23 (2007), 1635-1640.
- A. Moudafi and B.S. Thakur, Solving proximal split feasibility problems without prior knowledge of operator norms, Optim. Lett., 8 (2014), 2099-2110.
- G.A. Okeke, D. Francis and J.K. Kim, Existence and uniqueness of fixed point of some expansive-type mappings in generalized modular metric spaces, Nonlinear Funct. Anal. Appl., 28(4) (2023), 957-988.
- G.A. Okeke, D. Francis and J.K. Kim, New proofs of some fixed point theorems for mappings satisfying Reich type contractions in modular metric spaces, Nonlinear Funct. Anal. Appl., 28 (1) (2023), 1-9.
- G.A. Okeke and J.K. Kim, Approximation of Common Fixed Point of Three Multivalued ρ-Quasi-nonexpansive Mappings in Modular Function Spaces. Nonlinear Funct. Anal. Appl., 24(4) (2019), 651-664.
- G.A. Okeke, A.E. Ofem and H. Isik, A faster iterative method for solving nonlinear third-order BVPs based on Greens function, Boundary Value Prob., 2022:103 (2022), https://doi.org/10.1186/s13661-022-01686-y.
- G.A. Okeke, A.V. Udo, R.T. Alqahtani and N.H. Alharthi, A faster iterative scheme for solving nonlinear fractional differential equations of the Caputo type, AIMS Mathematics, 8(12) (2023), 28488-28516.
- Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73(4) (1967), 591-597.
- M.O. Osilike and F.O. Isiogugu, Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces, Nonlinear Anal., 74 (2011), 1814-1822.
- F. Ouzine, R. Azennar and D. Mentagui, A fixed point theorem on some multi-valued maps in modular spaces, Nonlinear Funct. Anal. Appl., 27(3) (2022), 641-648.
- N. Saleem, I.K. Agwu, U. Ishtiaq and S. Radenovic, Strong convergence theorems for a finite family of (b, k)-enriched strictly pseudocontractive mappings and ΦT -Enriched Lipschitizian mappings using a new modified mixed-type Ishikawa iteration scheme with error, Symmetry, (2022):14, 1032, https://doi.org/10.3390/sym14051032.
- T. Suzuki, A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings, Proc. Amer. Math. Soc., 135(1) (2007), 99-106.
- W. Takahashi, Nonlinear Functional Analysis: Fixed Point Theory and Its Applications, Yokohama Publishers, Yokohama, Pub., 2000.
- W. Takahashi and K. Shimoji, Convergence theorems for nonexpansive mappings and feasibility problems, Math. Comput. Model. 32(11) (2000), 1463-1471.
- W. Takahashi and M. Toyoda, Weak convergence theorems for nonexpansive mappings and monotone mappings, Optim. Theory Appl., 118 (2003), 417-428.
- H.K. Xu, Iterative algorithms for nonlinear operators, J. Lond. Math. Soc., 66(2) (2002), 240-256.
- H.K. Xu, An iterative approach to quadratic optimization, J. Optim. Theory Appl., 116(3) (2003), 659-678.
- H.K. Xu, A variable Krasnoselskii-Mann algorithm and the multiple-set split feasibility problem, Inverse Probl., 22 (2006), 2021-2034.
- D. Youla, Mathematical theory of image restoration by the method of convex projections, In: Stark, H (ed.) Image Recovery Theory Appl., Academic Press, Orlando (1987), 29-77.