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Fixed-point theorems for multivalued maps with closed values on complete gauge spaces. (English) Zbl 0978.54030

Summary: We present fixed-point results for contractive maps in the sense of Ramendra Krishna Bose and Rathindra Nath Mukherjee [Tamkang J. Math. 8, 245-248 (1977; Zbl 0402.54050)] defined on complete gauge spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54C60 Set-valued maps in general topology

Citations:

Zbl 0402.54050
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References:

[1] R.P. Agarwal and D. O’Regan, Fixed point theory for acrylic maps between topological vector spaces having sufficiently many linear functionals and generalized contractive maps with closed values between complete metric spaces, In Set Valued Mappings with Applications in Nonlinear Analysis, (Edited by R.P. Agarwal and D. O’Regan), Gordon and Breach (to appear).; R.P. Agarwal and D. O’Regan, Fixed point theory for acrylic maps between topological vector spaces having sufficiently many linear functionals and generalized contractive maps with closed values between complete metric spaces, In Set Valued Mappings with Applications in Nonlinear Analysis, (Edited by R.P. Agarwal and D. O’Regan), Gordon and Breach (to appear).
[2] Bose, R. K.; Mukherjee, R. N., Common fixed points of some multivalued maps, Tamkang Jour. Math, 8, 245-249 (1977)
[3] M. Frigon, Fixed point results for multivalued contractions on gauge spaces, In Set Valued Mappings with Applications in Nonlinear Analysis, (Edited by R.P. Agarwal and D. O’Regan), Gordon and Breach (to appear).; M. Frigon, Fixed point results for multivalued contractions on gauge spaces, In Set Valued Mappings with Applications in Nonlinear Analysis, (Edited by R.P. Agarwal and D. O’Regan), Gordon and Breach (to appear). · Zbl 1013.47013
[4] Dugundji, J., Topology (1966), Ally and Bacon: Ally and Bacon Boston
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