Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2011_90_1_a9, author = {Qiuying Li and Chuanxi Zhu}, title = {The {Fixed-Point} {Index} of {Nonlinear} {Operators} in {Menger} {PN-Spaces}}, journal = {Matemati\v{c}eskie zametki}, pages = {104--112}, publisher = {mathdoc}, volume = {90}, number = {1}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a9/} }
Qiuying Li; Chuanxi Zhu. The Fixed-Point Index of Nonlinear Operators in Menger PN-Spaces. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 104-112. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a9/
[1] H. Amman, Lectures on some Fixed Point Theorems, Monografias de Matematica, Rio de Janeiro, 1974
[2] M. A. Krasnoselskii, Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, M., 1956 | MR | Zbl
[3] L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Inst. of Math. Sci., New York, 1974 | MR | Zbl
[4] J. T. Schwartz, Nonlinear Functional Analysis, Notes in Mathematics and its Applications, Gordon and Breach Sci. Publ., New York, 1969 | MR | Zbl
[5] H. Amman, “Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces”, SIAM Rev., 18:4 (1976), 620–709 | DOI | MR
[6] S. S. Chang, J. C. Yeol, M. K. Shi, Probabilistic Metric Spaces and Nonlinear Operator Theory, Sichuan Univ. Press, Chengdu, 1994
[7] S. S. Zhang, Y. Q. Chen, “Topological degree theory and fixed point theorems in probabilistic metric spaces”, Appl. Math. Mech. (English Ed.), 10:6 (1989), 495–505 | DOI | MR | Zbl
[8] S. S. Chang, B. S. Lee, Y. J. Cho, Y. Q. Chen, S. M. Kang, J. S. Jung, “Generalized contraction mapping principle and differential equations in probabilistic metric spaces”, Proc. Amer. Math. Soc., 124 (1996), 2367–2376 | DOI | MR | Zbl
[9] Q. Y. Li, C. X. Zhu, “Some new fixed points in Z-P-S space”, J. Systems Sci. Math. Sci., 28:4 (2008), 400–405 | MR | Zbl
[10] C. X. Zhu, “Several nonlinear operator problems in the Menger PN space”, Nonlinear Anal., 65:7 (2006), 1281–1284 | DOI | MR | Zbl
[11] C. X. Zhu, “Generalizations of Krasnoselskii's theorem and Petryshyn's theorem”, Appl. Math. Lett., 19:7 (2006), 628–632 | MR | Zbl
[12] C. X. Zhu, “A class of random operator equations in the Hilbert space”, Acta Math. Sinica (Chin. Ser.), 47:4 (2004), 641–646 | MR | Zbl
[13] C. X. Zhu, “Some theorems in the X-M-PN Space”, Appl. Math. Mech. (English Ed.), 21:2 (2000), 181–184 | MR | Zbl
[14] C. X. Zhu, C. F. Chen, “Calculations of random fixed point index”, J. Math. Anal. Appl., 339:2 (2008), 839–844 | DOI | MR | Zbl
[15] C. X. Zhu, Z. B. Xu, “Inequalities and solution of an operator equation”, Appl. Math. Lett., 21:6 (2008), 607–611 | DOI | MR | Zbl