Fixed Point Results for Condensing Operators via Measure of Non-Compactness
نویسندگان
چکیده
In this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure non-compactness, without using regularity. Our results improve and generalize many known literature.
منابع مشابه
New operators through measure of non-compactness
In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...
متن کاملSome Random Fixed Point Theorems for Condensing and Nonexpansive Operators
Some random versions of deterministic fixed point theorems for condensing and nonexpansive operators are obtained.
متن کاملCoincidence point and common fixed point results via scalarization function
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
متن کاملA new characterization for Meir-Keeler condensing operators and its applications
Darbo's fixed point theorem and its generalizations play a crucial role in the existence of solutions in integral equations. Meir-Keeler condensing operators is a generalization of Darbo's fixed point theorem and most of other generalizations are a special case of this result. In recent years, some authors applied these generalizations to solve several special integral equations and some of the...
متن کاملStructure of the Fixed Point of Condensing Set-Valued Maps
In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Vestnik St. Petersburg University: Mathematics
سال: 2022
ISSN: ['1063-4541', '1934-7855']
DOI: https://doi.org/10.1134/s1063454122030153