# Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets

Open Mathematics (2013)

- Volume: 11, Issue: 1, page 85-93
- ISSN: 2391-5455

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topAfif Amar. "Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets." Open Mathematics 11.1 (2013): 85-93. <http://eudml.org/doc/269103>.

@article{AfifAmar2013,

abstract = {The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.},

author = {Afif Amar},

journal = {Open Mathematics},

keywords = {Fixed point theorems; Weakly condensing; Eigenvalues; Surjectivity; fixed point theorems; weakly condensing; eigenvalues; surjectivity},

language = {eng},

number = {1},

pages = {85-93},

title = {Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets},

url = {http://eudml.org/doc/269103},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Afif Amar

TI - Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets

JO - Open Mathematics

PY - 2013

VL - 11

IS - 1

SP - 85

EP - 93

AB - The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness.

LA - eng

KW - Fixed point theorems; Weakly condensing; Eigenvalues; Surjectivity; fixed point theorems; weakly condensing; eigenvalues; surjectivity

UR - http://eudml.org/doc/269103

ER -

## References

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