Fixed point theorems for φ-contractions

Author:

Samreen Maria,Kiran Quanita,Kamran Tayyab

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference21 articles.

1. Proinov PD: A generalization of the Banach contraction principle with high order of convergence of successive approximations. Nonlinear Anal. 2007, 67: 2361–2369. 10.1016/j.na.2006.09.008

2. Mysovskih IP: On the convergence of L.V. Kantorovic’s method of solution of functional equations and its applications. Dokl. Akad. Nauk SSSR 1950, 70: 565–568. (in Russian)

3. Rheinboldt WC: A unified convergence theory for a class of iterative processes. SIAM J. Numer. Anal. 1968, 5: 42–63. 10.1137/0705003

4. Gel’man A: A certain fixed-point principle. Dokl. Akad. Nauk SSSR 1950, 198: 506–508. (in Russian); Sov. Math., Dokl. 12, 813–816 (1971) (Engl. transl.)

5. Huang ZD: On Newton’s method under Holder continuous derivative. J. Math. Anal. Appl. 2002, 270: 332–339. 10.1016/S0022-247X(02)00060-4

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