## Extensions of some fixed point theorems of Rhoades.(English)Zbl 0524.47033

### MSC:

 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.
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### References:

 [1] Browder, F.E; Petryshyn, W.V, Construction of fixed points of nonlinear mappings in Hilbert space, J. math. anal. appl., 20, 197-228, (1967) · Zbl 0153.45701 [2] Ciric, L.B, A generalization of Banach’s contraction principle, (), 267-273 · Zbl 0291.54056 [3] Ciric, L.B, Quasi-contractions in Banach spaces, Publ. inst. math., 21, 41-48, (1977) · Zbl 0361.47020 [4] Hicks, Troy L; Kubicek, J.D, On the Mann iteration process in Hilbert spaces, J. math. anal. appl., 59, 498-504, (1977) · Zbl 0361.65057 [5] Huffman, E.W; Hicks, Troy L, Fixed point theorems in generalized Hilbert spaces, J. math. anal. appl., 64, 562-569, (1978) · Zbl 0405.47037 [6] Ishikawa, S, Fixed points by a new iteration method, (), 147-150 · Zbl 0286.47036 [7] Mann, W.R, Mean value methods in iteration, (), 506-510 · Zbl 0050.11603 [8] Opial, Z, Weak convergence of the sequence of successive approximations for nonex pansive mappings, Bull. amer. math. soc., 73, 591-597, (1967) · Zbl 0179.19902 [9] Pal, T.K; Maiti, M, Extensions of fixed point theorems of rhoades and ciric, (), 283-286 · Zbl 0335.47040 [10] Rhoades, B.E, Fixed point theorems using infinite matrices, Trans. amer. math. soc., 196, 161-176, (1974) · Zbl 0285.47038 [11] Rhoades, B.E, A comparison of various definitions of contractive mappings, Trans. amer. math. soc., 226, 257-290, (1977) · Zbl 0365.54023 [12] Rhoades, B.E, Extensions of some fixed point theorems of ciric, maiti and pal, (), 41-46 · Zbl 0392.47032 [13] Rhoades, B.E, Comments on two fixed point iteration methods, J. math. anal. appl., 56, 741-750, (1976) · Zbl 0353.47029 [14] Singh, K.L, Fixed point iteration using infinite matrices, (), 689-703 [15] Singh, K.L, Generalized contractions and the sequence of iterates, (), 439-462 [16] Tricomi, F, Un teorema sulla convergenza Della successioni formate dalle successive iterate di una funzione di una variable reale, Giorn. mat. battaglini, 54, 1-19, (1916) · JFM 46.0439.03
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