# The coincidence index for fundamentally contractible multivalued maps with nonconvex values

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 2, page 143-166
- ISSN: 0066-2216

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topGabor, Dorota. "The coincidence index for fundamentally contractible multivalued maps with nonconvex values." Annales Polonici Mathematici 75.2 (2000): 143-166. <http://eudml.org/doc/208391>.

@article{Gabor2000,

abstract = {We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.},

author = {Gabor, Dorota},

journal = {Annales Polonici Mathematici},

keywords = {condensing map; Fredholm operator; boundary value problem in Banach spaces; fixed point index; coincidence points; coincidence point; boundary value problem; upper semicontinuous; ultimately compact maps; coincidence index; -th stable homotopy group of spheres},

language = {eng},

number = {2},

pages = {143-166},

title = {The coincidence index for fundamentally contractible multivalued maps with nonconvex values},

url = {http://eudml.org/doc/208391},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Gabor, Dorota

TI - The coincidence index for fundamentally contractible multivalued maps with nonconvex values

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 2

SP - 143

EP - 166

AB - We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.

LA - eng

KW - condensing map; Fredholm operator; boundary value problem in Banach spaces; fixed point index; coincidence points; coincidence point; boundary value problem; upper semicontinuous; ultimately compact maps; coincidence index; -th stable homotopy group of spheres

UR - http://eudml.org/doc/208391

ER -

## References

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