×

Nonlinear constractions in abstract spaces. (English) Zbl 0469.47043


MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] BOLEN, J. C. AND WILLIAMS, B. B., On the convergence of successive approximations for quasi-nonexpansive mappings through abstract cones. Technical Report No. 29 (1975), University of Texas at Arlington. · Zbl 0393.47038
[2] BOYD, D. W. AND WONG, J. S. W., On nonlinear contractions. Proc. Amer. Math. Soc. 20 (1969), 458-464. · Zbl 0175.44903
[3] CHUNG, K. J., Common fixed point theorems through abstract cones. Bull. Polon. Sci. Ser. Sci. Math. Astr. Phys. 3-4 (1980), 61-68. · Zbl 0482.47030
[4] EISENFELD, J. AND LAKSHMIKANTHAM, V., Comparison principle and nonlinear contractions in abstract spaces, J. Math. Anal. Appl. 49 (1975), 504-511. · Zbl 0296.47037
[5] EISENFELD, J. AND LAKSHMIKANTHAM, V., Fixed point theorems through abstract cones, J. Math. Anal. Appl. 52 (1975), 25-35. · Zbl 0312.47049
[6] EISENFELD, J. AND LAKSHMIKANTHAM, V., Remarks on nonlinear contraction and comparison principle in abstract cones. J. Math. Anal. Appl. 61 (1977), 116-121. · Zbl 0435.47059
[7] HEIKKILA, S. AND SEIKKALA, S., On fixed points through cluster values of iterates. J. Nonlinear Anal. Theory & Appl. Vol. 1 No. 6, 603-606, 1977. · Zbl 0376.47025
[8] HEIKKILA, S. AND SEIKKALA, S., On the estimation of successive approximations in abstract spaces. J. Math. Appl. Anal. 58 (1977), 378-383. · Zbl 0349.41024
[9] KRASNOSELSKII, M. A., Positive solutions of operator equations, Noordhoff, Gronmgen 1964. · Zbl 0121.10604
[10] KWAPISZ, M., Some generalization of an abstract contraction mapping principle, J. Nonlinear Anal. Theory & Appl. Vol. 3, No. 3 (1979), 293-302. · Zbl 0448.47038
[11] WAZEWSKI, T., Sur une procede de prouver la convergence des approximations successive sans utilisation des series de comparaison. Bull. Acad. Polon. Sci. Sr. Sci. Math. Astr. Phys. 8 (1960), 45-52. · Zbl 0091.28802
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.