Bulletin of the American Mathematical Society

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Book Information:

Author: Vasile I. Istratescu
Title: Fixed point theory: An introduction
Additional book information: Mathematics and Its Applications, Vol. 7, D. Reidel Publishing Company, Dordrecht, Holland, 1981, xv + 466 pp.

Mieczyslaw Altman, Contractors and contractor directions. Theory and applications, Lecture Notes in Pure and Applied Mathematics, Vol. 32, Marcel Dekker, Inc., New York-Basel, 1977. A new approach to solving equations. MR 0451686

Mieczyslaw Altman, Contractors and fixed points, Topological methods in nonlinear functional analysis (Toronto, Ont., 1982) Contemp. Math., vol. 21, Amer. Math. Soc., Providence, RI, 1983, pp. 1–14. MR 729502, DOI 10.1090/conm/021/729502

3 K. Balakrishna Reddy and P. V. Subrahmanyam, Altman's contractors and Matkowski's fixed point theorem, J. Nonlinear Analysis (to appear).

H. Brézis and F. E. Browder, A general principle on ordered sets in nonlinear functional analysis, Advances in Math. 21 (1976), no. 3, 355–364. MR 425688, DOI 10.1016/S0001-8708(76)80004-7

James Dugundji and Andrzej Granas, Fixed point theory. I, Monografie Matematyczne [Mathematical Monographs], vol. 61, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1982. MR 660439

Ivar Ekeland, Nonconvex minimization problems, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 3, 443–474. MR 526967, DOI 10.1090/S0273-0979-1979-14595-6

7 H.-H. Kuo, Stochastic integral contractors, J. Integral Equations 1 (1979), 35-46.

A. J. Michaels, Hilden’s simple proof of Lomonosov’s invariant subspace theorem, Adv. Math. 25 (1977), no. 1, 56–58. MR 500214, DOI 10.1016/0001-8708(77)90089-5

A. C. H. Lee and W. J. Padgett, Random contractors and the solution of random nonlinear equations, Nonlinear Anal. 1 (1976/77), no. 2, 175–185. MR 651584, DOI 10.1016/0362-546X(77)90008-6

D. R. Smart, Fixed point theorems, Cambridge Tracts in Mathematics, No. 66, Cambridge University Press, London-New York, 1974. MR 0467717

1 M. Altman, Contractor and contractors directions, theory and applications, Lecture Notes in Pure and Appl. Math., vol. 32, Dekker, New York, 1977. MR 0451686




2 M. Altman, Contractors and fixed points, Abstracts Amer. Math. Soc. 3 (1982), 357; Abstract #796-47-79. MR 729502




3 K. Balakrishna Reddy and P. V. Subrahmanyam, Altman's contractors and Matkowski's fixed point theorem, J. Nonlinear Analysis (to appear).




4 H. Brézis and F. E. Browder, A general principle on ordered sets, Adv. in Math. 21 (1976), 355-364. MR 425688




5 J. Dugundji and A. Granas, Fixed point theory, vol I, PWN-Polish Scientific Publ., Warsaw, Poland, 1982. MR 660439




6 I. Ekeland, Nonconvex minimization problems, Bull. Amer. Math. Soc. (N.S.) 1 (1979), 443-447. MR 526967




7 H.-H. Kuo, Stochastic integral contractors, J. Integral Equations 1 (1979), 35-46.




8 A. J. Michaels, Hilden's simple proof of Lomonosov's invariant subspace theorem, Adv. in Math. 25 (1977), 56-58. MR 500214




9 W. J. Padgett and A. C.-H. Lee, Random contractors and solutions of random nonlinear equations, J. Nonlinear Analysis 1 (1977), 175-185. MR 651584




10 D. R. Smart, Fixed point theorems, Cambridge Tracts in Math., Cambridge Univ. Press, New York, 1974. MR 467717