Uniqueness of fixed points for sums of operators in ordered Banach spaces and applications
نویسندگان
چکیده
In this article, we are concerned by existence and uniqueness of a fixed point for the sum two operators A B, defined on closed convex subset an ordered Banach space, where order is induced normal minihedral cone. such structure, absolute value function generated provide ability to introduce new versions concepts lipschitzian expansive mappings. Therefore prove that if B contractive, then + has unique point.
منابع مشابه
Positive Fixed Points for Semipositone Operators in Ordered Banach Spaces and Applications
and Applied Analysis 3 by (17). From (17) we know R > r 0 /(1 − m 0 r 0 ), thus (R − r 0 )/r 0 ≥ m 0 R. This and (H3), (4), and (19) imply [y 1 − x 0 ] + = y 1 − x 0 > ( R
متن کاملCommon Fixed Points in Ordered Banach Spaces
In [1] Dhage, O’Regan and Agarwal introduced the class of weak isotone mappings and the class of countably condensing mappings in an ordered Banach space and they prove some common fixed point theorems for weak isotone mappings. In this paper we introduce the notion of g-weak isotone mappings which allows us to generalize some common fixed point theorems of [1]. We recall the definition of orde...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولNew iteration process for approximating fixed points in Banach spaces
The object of this paper is to present a new iteration process. We will show that our process is faster than the known recent iterative schemes. We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings. We also present a numerical example for proving the rate of convergence of our res...
متن کاملOn fixed points of fundamentally nonexpansive mappings in Banach spaces
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and con...
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: Proyecciones
سال: 2022
ISSN: ['0716-0917', '0717-6279']
DOI: https://doi.org/10.22199/issn.0717-6279-5407