Fixed point theorems in generalized Banach spaces under G-weak topology features

Ahmed Boudaoui; Bilel Krichen; Noura Laksaci; Donal O’Regan

doi:10.1007/s13226-022-00273-2

Fixed point theorems in generalized Banach spaces under G-weak topology features

Ahmed Boudaoui
, Bilel Krichen
, Noura Laksaci
, Donal O’Regan

Mathematics

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

3 Citations (Scopus)

Abstract

In this paper we extend some fixed point results in generalized Banach spaces endowed with the so-called G-weak topology and having the generalized Dunford–Pettis property (in short, G-DP property). Our main results are formulated in terms of G-weak compactness and G-weak sequential continuity. Also we give an example for a coupled system of nonlinear integral equations defined on the generalized Banach space C(J, E₁) × C(J, E₂) of all continuous functions on J= [0 , T] to illustrate our theory.

Original language	English
Pages (from-to)	532-546
Number of pages	15
Journal	Indian Journal of Pure and Applied Mathematics
Volume	54
Issue number	2
DOIs	https://doi.org/10.1007/s13226-022-00273-2
Publication status	Published - Jun 2023

Keywords

Fixed point theorems
Generalized Banach space
Generalized Dunford-Pettis spaces
Integral equations system
M-contraction

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10.1007/s13226-022-00273-2

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title = "Fixed point theorems in generalized Banach spaces under G-weak topology features",

abstract = "In this paper we extend some fixed point results in generalized Banach spaces endowed with the so-called G-weak topology and having the generalized Dunford–Pettis property (in short, G-DP property). Our main results are formulated in terms of G-weak compactness and G-weak sequential continuity. Also we give an example for a coupled system of nonlinear integral equations defined on the generalized Banach space C(J, E1) × C(J, E2) of all continuous functions on J= [0 , T] to illustrate our theory.",

keywords = "Fixed point theorems, Generalized Banach space, Generalized Dunford-Pettis spaces, Integral equations system, M-contraction",

author = "Ahmed Boudaoui and Bilel Krichen and Noura Laksaci and Donal O{\textquoteright}Regan",

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T1 - Fixed point theorems in generalized Banach spaces under G-weak topology features

AU - Boudaoui, Ahmed

AU - Krichen, Bilel

AU - Laksaci, Noura

AU - O’Regan, Donal

PY - 2023/6

Y1 - 2023/6

N2 - In this paper we extend some fixed point results in generalized Banach spaces endowed with the so-called G-weak topology and having the generalized Dunford–Pettis property (in short, G-DP property). Our main results are formulated in terms of G-weak compactness and G-weak sequential continuity. Also we give an example for a coupled system of nonlinear integral equations defined on the generalized Banach space C(J, E1) × C(J, E2) of all continuous functions on J= [0 , T] to illustrate our theory.

AB - In this paper we extend some fixed point results in generalized Banach spaces endowed with the so-called G-weak topology and having the generalized Dunford–Pettis property (in short, G-DP property). Our main results are formulated in terms of G-weak compactness and G-weak sequential continuity. Also we give an example for a coupled system of nonlinear integral equations defined on the generalized Banach space C(J, E1) × C(J, E2) of all continuous functions on J= [0 , T] to illustrate our theory.

KW - Fixed point theorems

KW - Generalized Banach space

KW - Generalized Dunford-Pettis spaces

KW - Integral equations system

KW - M-contraction

UR - https://www.scopus.com/pages/publications/85133510634

U2 - 10.1007/s13226-022-00273-2

DO - 10.1007/s13226-022-00273-2

M3 - Article

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SN - 0019-5588

VL - 54

SP - 532

EP - 546

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 2

ER -

Fixed point theorems in generalized Banach spaces under G-weak topology features

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