Surjectivity results for nonlinear weakly sequentially continuous operators and applications

Afif Ben Amar; Hajer Garbout; Donal O’regan

doi:10.24193/fpt-ro.2021.2.32

Surjectivity results for nonlinear weakly sequentially continuous operators and applications

Afif Ben Amar
, Hajer Garbout
, Donal O’regan

Mathematics

Mathematics University of Sfax

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

We introduce new surjectivity results for a couple (T, S) where T and S are two weakly sequentially continuous operators and satisfy some homogeneity conditions. Also we present new operator quantities using the measure of weak noncompactness. Our results extend in a broad sense some theorems of Fučik, Nečas, Souček and Souček in the weak topology setting. In addition we present an application for generalized Hammerstein type integral equations.

Original language	English
Pages (from-to)	481-494
Number of pages	14
Journal	Fixed Point Theory
Volume	22
Issue number	2
DOIs	https://doi.org/10.24193/fpt-ro.2021.2.32
Publication status	Published - 1 Jul 2021

Keywords

A-homogeneous operator
Measure of weak noncompactness
Weakly sequentially continuous

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N2 - We introduce new surjectivity results for a couple (T, S) where T and S are two weakly sequentially continuous operators and satisfy some homogeneity conditions. Also we present new operator quantities using the measure of weak noncompactness. Our results extend in a broad sense some theorems of Fučik, Nečas, Souček and Souček in the weak topology setting. In addition we present an application for generalized Hammerstein type integral equations.

AB - We introduce new surjectivity results for a couple (T, S) where T and S are two weakly sequentially continuous operators and satisfy some homogeneity conditions. Also we present new operator quantities using the measure of weak noncompactness. Our results extend in a broad sense some theorems of Fučik, Nečas, Souček and Souček in the weak topology setting. In addition we present an application for generalized Hammerstein type integral equations.

KW - A-homogeneous operator

KW - Measure of weak noncompactness

KW - Weakly sequentially continuous

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JO - Fixed Point Theory

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Surjectivity results for nonlinear weakly sequentially continuous operators and applications

Abstract

Keywords

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