Compact embeddings and proper mappings
作者： J.M. Soriano
关键词: Mathematics 、 Discrete mathematics 、 Continuation 、 Homotopy 、 Embedding 、 Fixed point 、 Banach space 、 Continuation method
摘要: Abstract Sufficient conditions are given to assert that a C 1 -proper mapping defined on compact embedding between Banach spaces over K has fixed point. The proof of the result is based upon continuation methods.
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sci-hub.se 参考文章(24)
E. L. Allgower, A survey of homotopy methods for smooth mappings Springer, Berlin, Heidelberg. pp. 1- 29 ,(1981) , 10.1007/BFB0090675
Eberhard Zeidler, Nonlinear Functional Analysis and its Applications Springer New York. ,(1990) , 10.1007/978-1-4612-0981-2
J. M. Soriano, A regular value of compact deformation Applied Mathematics and Mechanics-english Edition. ,vol. 27, pp. 1265- 1274 ,(2006) , 10.1007/S10483-006-0914-Z
J. C. Alexander, James A. Yorke, The homotopy continuation method: numerically implementable topological procedures Transactions of the American Mathematical Society. ,vol. 242, pp. 271- 284 ,(1978) , 10.1090/S0002-9947-1978-0478138-5
C. B. Garcia, T. Y. Li, On the Number of Solutions to Polynomial Systems of Equations SIAM Journal on Numerical Analysis. ,vol. 17, pp. 540- 546 ,(1980) , 10.1137/0717046
J.M. Soriano, Continuous embeddings and continuation methods Nonlinear Analysis: Theory, Methods & Applications. ,vol. 70, pp. 4118- 4121 ,(2009) , 10.1016/J.NA.2008.08.015
J.M. Soriano, Existence and computation of zeros of perturbed mappings Applied Mathematics and Computation. ,vol. 173, pp. 457- 467 ,(2006) , 10.1016/J.AMC.2005.04.044
Dan G. Tuckness, Analysis of optical navigation error during Mars entry Applied Mathematics and Computation. ,vol. 80, pp. 1- 22 ,(1996) , 10.1016/0096-3003(95)00275-8
J.M. Soriano, C. Ding, A lower bound of stable stationary trajectories Acta Mathematica Scientia. ,vol. 27, pp. 535- 540 ,(2007) , 10.1016/S0252-9602(07)60053-8
J.M Soriano, Mappings sharing a value on finite-dimensional spaces Applied Mathematics and Computation. ,vol. 121, pp. 391- 395 ,(2001) , 10.1016/S0096-3003(00)00023-0