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

Afif Amar

Open Mathematics (2013)

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

Abstract

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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.

How to cite

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Afif 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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