×
Naimpally, S. A.; Singh, K. L.

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

J. Math. Anal. Appl. 96, 437-446 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0524.47033

Cited in 13 Reviews
Cited in 29 Documents

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

quasi-contraction; sequence of Mann iterates; fixed point; Ishikawa iterates
PDF BibTeX XML Cite
\textit{S. A. Naimpally} and \textit{K. L. Singh}, J. Math. Anal. Appl. 96, 437--446 (1983; Zbl 0524.47033)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.