Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to volterra integral equations

Authors

Ravi P. Agarwal
Donal O'Regan
Mohamed-Aziz Taoudi

Document Type

Article

Publication Title

Journal of Integral Equations and Applications

Abstract

In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several earlier works. As an application, we investigate the existence of weak solutions to a Volterra integral equation. 2012 Rocky Mountain Mathematics Consortium.

First Page

167

Last Page

181

DOI

10.1216/JIE-2012-24-2-167

Publication Date

6-22-2012

Recommended Citation

Agarwal, R. P., O'Regan, D., & Taoudi, M. -. (2012). Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to volterra integral equations. Journal of Integral Equations and Applications, 24(2), 167-181.