Fixed point theorems involving 1-set-weakly contractive operators in WC-banach algebras

Bilel Krichen; Bilel Mefteh; Donal O’regan

doi:10.24193/fpt-ro.2019.2.35

Fixed point theorems involving 1-set-weakly contractive operators in WC-banach algebras

Bilel Krichen
, Bilel Mefteh
, Donal O’regan

Mathematics

Mathematics University of Sfax

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

4 Citations (Scopus)

Abstract

In this paper, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC-Banach algebra and involving 1-set-weakly contractive maps. The obtained results are applied to a nonlinear functional integral equation in a suitable Banach algebra. Our results are extensions of several earlier results.

Original language	English
Pages (from-to)	541-558
Number of pages	18
Journal	Fixed Point Theory
Volume	20
Issue number	2
DOIs	https://doi.org/10.24193/fpt-ro.2019.2.35
Publication status	Published - 1 Jan 2019

Keywords

1-set-weakly contractive
Fixed point theorems
Measure of weak noncompactness
WC-Banach algebra
Weak topology

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Krichen, B;Mefteh, B;O'Regan, D

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10.24193/fpt-ro.2019.2.35

Cite this

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abstract = "In this paper, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC-Banach algebra and involving 1-set-weakly contractive maps. The obtained results are applied to a nonlinear functional integral equation in a suitable Banach algebra. Our results are extensions of several earlier results.",

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N2 - In this paper, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC-Banach algebra and involving 1-set-weakly contractive maps. The obtained results are applied to a nonlinear functional integral equation in a suitable Banach algebra. Our results are extensions of several earlier results.

AB - In this paper, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on a WC-Banach algebra and involving 1-set-weakly contractive maps. The obtained results are applied to a nonlinear functional integral equation in a suitable Banach algebra. Our results are extensions of several earlier results.

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KW - Fixed point theorems

KW - Measure of weak noncompactness

KW - WC-Banach algebra

KW - Weak topology

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Fixed point theorems involving 1-set-weakly contractive operators in WC-banach algebras

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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