New fixed point theorems for countably condensing maps with an application to functional integral inclusions

被引:4
|
作者
Ben Amara, Khaled [1 ]
Jeribi, Aref [2 ]
Kaddachi, Najib [1 ,2 ]
机构
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Rd Soukra Km 3-5,BP 1171, Sfax 3000, Tunisia
[2] Univ Kairouan, Fac Sci & Technol Sidi Bouzid, BP 380, Sidi Bouzid 9100, Tunisia
关键词
countably condensing multimap; functional-integral inclusions; Banach spaces; measure of weak noncompactness; fixed point theorems; BANACH-ALGEBRAS; WEAK TOPOLOGY; EXISTENCE; EQUATIONS; SYSTEM; MULTIFUNCTIONS;
D O I
10.1515/ms-2021-0067
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents new fixed point theorems for 2 x 2 block operator matrix with countably condensing or countably -set-contraction multi-valued inputs. Our theory will then be used to establish some new existence theorems for coupled system of functional differential inclusions in general Banach spaces under weak topology. Our results generalize, improve and complement a number of earlier works.
引用
收藏
页码:1487 / 1510
页数:24
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