Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability

Afif Ben Amar

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 2, page 177-190
  • ISSN: 0010-2628

Abstract

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In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.

How to cite

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Ben Amar, Afif. "Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability." Commentationes Mathematicae Universitatis Carolinae 52.2 (2011): 177-190. <http://eudml.org/doc/246685>.

@article{BenAmar2011,
abstract = {In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.},
author = {Ben Amar, Afif},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point theorems; Henstock-Kurzweil-Pettis integral; Volterra equation; measure of weak noncompactness; fixed point theorems; Henstock-Kurzweil-Pettis integral; Volterra integral equation; measure of weak noncompactness},
language = {eng},
number = {2},
pages = {177-190},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability},
url = {http://eudml.org/doc/246685},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Ben Amar, Afif
TI - Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 2
SP - 177
EP - 190
AB - In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
LA - eng
KW - fixed point theorems; Henstock-Kurzweil-Pettis integral; Volterra equation; measure of weak noncompactness; fixed point theorems; Henstock-Kurzweil-Pettis integral; Volterra integral equation; measure of weak noncompactness
UR - http://eudml.org/doc/246685
ER -

References

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