Degree theory for multivalued (S) type mappings and fixed point theorems

Zhang Shi-sheng; Chen Yu-chin

doi:10.1007/bf02016374

journal article May 01, 1990

Degree theory for multivalued (S) type mappings and fixed point theorems

Zhang Shi-sheng Chen Yu-chin

Applied Mathematics and Mechanics Vol. 11 No. 5 pp. 441-454 · Springer Science and Business Media LLC

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References

11

[1]

Browder, F. E., Degree of mapping for nonlinear mappings of monotone type,Proc. Nat. Acad. Sci. USA,80 (1983), 1771–1773. 10.1073/pnas.80.6.1771

[2]

Browder, F. E., Degree of mapping for nonlinear mappings of monotone type densely defined mappings, Ibid,80 (1983), 2405–2407. 10.1073/pnas.80.8.2405

[3]

Browder, F. E., Degree of mapping for nonlinear mappings of monotone type strongly nonlinear mappings, Ibid,80 (1983), 2408–2409. 10.1073/pnas.80.8.2408

[4]

Browder, F. E., Degree theory for nonlinear mappings,Proc. Sym. Pure Math.,45 (1986), 203–226. 10.1090/pspum/045.1/843560

[5]

Browder, F. E. and W. V. Petryshyn, Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces,J. Functional Anal.,31 (1969), 217–245. 10.1016/0022-1236(69)90041-x

[6]

Ma, T. W., Topological degree for set-valued compact vector fields in locally convex spaces,Dissertationes Math.,92 (1972), 1–43.

[7]

Berkovits, J. and V. Mustonen, On the topological degree for mappings of monotone type,Nonlinear Anal. 10, 12 (1986), 1373–1383. 10.1016/0362-546x(86)90108-2

[8]

Crandall, M. G. and A. Pazy, Semigroup of nonlinear contractions and dissipative sets,J. Funct. Anal., 3 (1969), 376–418. 10.1016/0022-1236(69)90032-9

[9]

Willem, M., Topology and semilinear equations at resonance in Hilbert space,Nonlinear Anal., 5 (1981), 517–524. 10.1016/0362-546x(81)90100-0

[10]

Reinermann, J. and R. Shoneberg, Some results in fixed point theory for non-expansive and pseudo-contractive maps in Hilbert space,Fixed Point Theory and Its Applications, Academic Press, New York (1976), 187–196.

[11]

Troyjanski, S. L., On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces,Studia Math.,37 (1971), 173–180. 10.4064/sm-37-2-173-180

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Published: May 01, 1990
Vol/Issue: 11(5)
Pages: 441-454
License: View

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Cite This Article

Zhang Shi-sheng, Chen Yu-chin (1990). Degree theory for multivalued (S) type mappings and fixed point theorems. Applied Mathematics and Mechanics, 11(5), 441-454. https://doi.org/10.1007/bf02016374

Degree theory for multivalued (S) type mappings and fixed point theorems

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