1 |
J. Leray and J. Shauder, Topologie et equations fonctionnelles, Ann. Sci. Ecole Norm. Sup. (3) 51 (1934), 45-78
DOI
|
2 |
J. M. Soriano, On the existence of zero points of a continuous function, Acta Math. Sci. Ser. B Engl. Ed. 22 (2002), no. 2, 171-177
|
3 |
C. B. Garcia and T. Y. Li, On the number of solutions to polynomial systems of equations, SIAM J. Numer. Anal. 17 (1980), no. 4, 540-546
DOI
ScienceOn
|
4 |
C. B. Garcia and W. I. Zangwill, Determining all solutions to certain systems of non-linear equations, Math. Oper. Res. 4 (1979), no. 1, 1-14
DOI
ScienceOn
|
5 |
J. M. Soriano, Open trajectories, Appl. Math. Comput. 124 (2001), no. 2, 235-240
DOI
ScienceOn
|
6 |
E. L. Allgower, A Survey of Homotopy Methods for Smooth Mappings, Numerical solution of nonlinear equations (Bremen, 1980), pp. 1-29, Lecture Notes in Math., 878, Springer, Berlin-New York, 1981
|
7 |
E. L. Allgower, K. Glashoff, and H. Peitgen, Proceedings of the Conference on Numerical Solutions of Nonlinear Equations, Bremen, July 1980, Lecture Notes in Math. 878. Springer-Verlag, Berlin, 1981
|
8 |
E. L. Allgower and K. Georg, Numerical Continuation Methods, An introduction. Springer Series in Computational Mathematics, 13. Springer-Verlag, Berlin, 1990
|
9 |
J. C. Alexander and J. A. Yorke, The homotopy continuation method: numerically implementable topological procedures, Trans. Amer. Math. Soc. 242 (1978), 271-284
DOI
ScienceOn
|
10 |
S. Bernstein, Sur la generalisation du probleme de Dirichlet, Math. Ann. 69 (1910), no. 1, 82-136
DOI
|
11 |
J. M. Soriano, Existence of zeros for bounded perturbations of proper mappings, Appl. Math. Comput. 99 (1999), no. 2-3, 255-259
DOI
ScienceOn
|
12 |
J. M. Soriano, Global minimum point of a convex function, Appl. Math. Comput. 55 (1993), no. 2-3, 213-218
DOI
ScienceOn
|
13 |
J. M. Soriano, On the Bezout theorem real case, Comm. Appl. Nonlinear Anal. 2 (1995), no. 4, 59-66
|
14 |
J. M. Soriano, Extremum points of a convex function, Appl. Math. Comput. 66 (1994), no. 2-3, 261-266
DOI
ScienceOn
|
15 |
J. M. Soriano, On the existence of zero points, Appl. Math. Comput. 79 (1996), no. 1, 99-104
DOI
ScienceOn
|
16 |
J. M. Soriano, On the number of zeros of a mapping, Appl. Math. Comput. 88 (1997), no. 2-3, 287-291
DOI
ScienceOn
|
17 |
J. M. Soriano, On the Bezout theorem, Comm. Appl. Nonlinear Anal. 4 (1997), no. 2, 59-66
|
18 |
J. M. Soriano, Mappings sharing a value on finite-dimensional spaces, Appl. Math. Comput. 121 (2001), no. 2-3, 391-395
DOI
ScienceOn
|
19 |
J. M. Soriano, Compact mappings and proper mappings between Banach spaces that share a value, Math. Balkanica (N.S.) 14 (2000), no. 1-2, 161-166
|
20 |
J. M. Soriano, Zeros of compact perturbations of proper mappings, Comm. Appl. Nonlinear Anal. 7 (2000), no. 4, 31-37
|
21 |
J. M. Soriano, A compactness condition, Appl. Math. Comput. 124 (2001), no. 3, 397-402
DOI
ScienceOn
|
22 |
J. M. Soriano, Fredholm and compact mappings sharing a value, Chinese translation in Appl. Math. Mech. 22 (2001), no. 6, 609-612
|
23 |
E. Zeidler, Applied Functional Analysis, Applied Mathematical Sciences, 109. Springer-Verlag, New York, 1995
|
24 |
J. M. Soriano and V. G. Angelov, A zero of a proper mapping, Fixed Point Theory 4 (2003), no. 1, 97-104
|
25 |
S. Smale, An infinite dimensional version of Sard's theorem, Amer. J. Math. 87 (1965), 861-866
DOI
ScienceOn
|
26 |
E. Zeidler, Nonlinear Functional Analysis and Its Applications. III, Variational methods and optimization. Translated from the German by Leo F. Boron. Springer-Verlag, New York, 1985
|
27 |
H. Cartan, Differential Calculus, Houghton Mifflin Co., Boston, Mass., 1971
|