Geodesic
Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 2, pp. 177-190 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 26A39, 28B05, 45D05, 45N05, 47H10
Keywords: fixed point theorems; Henstock-Kurzweil-Pettis integral; Volterra equation; measure of weak noncompactness 
@article{CMUC_2011_52_2_a1,
     author = {Ben Amar, Afif},
     title = {Some fixed point theorems and existence of weak solutions of {Volterra} integral equation under {Henstock-Kurzweil-Pettis} integrability},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {177--190},
     year = {2011},
     volume = {52},
     number = {2},
     mrnumber = {2849044},
     zbl = {1240.45010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2011_52_2_a1/}
}
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
SP  - 177
EP  - 190
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_2011_52_2_a1/
LA  - en
ID  - CMUC_2011_52_2_a1
ER  - 
%0 Journal Article
%A Ben Amar, Afif
%T Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
%J Commentationes Mathematicae Universitatis Carolinae
%D 2011
%P 177-190
%V 52
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_2011_52_2_a1/
%G en
%F CMUC_2011_52_2_a1
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, Tome 52 (2011) no. 2, pp. 177-190. http://geodesic.mathdoc.fr/item/CMUC_2011_52_2_a1/