A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

被引：13
|
作者：
Agarwal, RP
O'Regan, D
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 123卷 / 02期
关键词：
axiomatic index theory; multiple solutions; integral inclusions;
D O I：
10.1016/S0096-3003(00)00077-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of three fixed points is established for multivalued maps which satisfy an axiomatic index theory. Our results enable us to develop criteria for the existence of three nonnegative solutions to integral inclusions. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：263 / 274
页数：12
相关论文
共 50 条
  • [41] Leggett-Williams norm-type fixed point theorems
    Zima, M
    DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 551 - 559
  • [42] Common α-Fuzzy Fixed Point Results with Applications to Volterra Integral Inclusions
    Al-Mazrooei, Abdullah Eqal
    Ahmad, Jamshaid
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [43] THREE SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE PROBLEMS BY A GENERALIZATION OF THE LEGGETT-WILLIAMS THEOREM
    Avery, Richard I.
    Davis, John M.
    Henderson, Johnny
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
  • [44] EXISTENCE OF SOLUTIONS FOR GENERALIZED 2D FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN'S FIXED POINT THEOREM
    Kumar, Rakesh
    Kazemi, Manochehr
    Dhiman, Deepak
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2024, 36 (02) : 203 - 212
  • [45] Existence theorem for integral inclusions by a fixed point theorem for multivalued implicit-type contractive mappings
    Ali, Muhammad Usman
    Pitea, Ariana
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (02): : 334 - 348
  • [46] Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn's fixed point theorem
    Deep, Amar
    Kumar, Ashish
    Abbas, Syed
    Rabbani, Mohsen
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01):
  • [47] Generalization of Darbos Fixed Point Theorem via SRμ-Contractions with Application to Integral Equations
    Zarinfar, Farzad
    Khojasteh, Farshid
    Vaezpour, Mansour
    FILOMAT, 2018, 32 (01) : 55 - 69
  • [48] A positive fixed point theorem with applications to systems of Hammerstein integral equations
    Alberto Cabada
    José Ángel Cid
    Gennaro Infante
    Boundary Value Problems, 2014
  • [49] A positive fixed point theorem with applications to systems of Hammerstein integral equations
    Cabada, Alberto
    Angel Cid, Jose
    Infante, Gennaro
    BOUNDARY VALUE PROBLEMS, 2014, : 1 - 10
  • [50] GENERALIZATION OF BANACHS FIXED-POINT THEOREM
    GHOSHAL, SK
    RAY, BK
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A324 - A324
12345