Results 11 to 20 of about 1,128,824 (222)

Convergence Theorems for a Maximal Monotone Operator and a 𝑉-Strongly Nonexpansive Mapping in a Banach Space [PDF]

Abstract and Applied Analysis, 2010
Let E be a smooth Banach space with a norm ‖⋅‖. Let 𝑉(𝑥,𝑦)=‖𝑥‖2+‖𝑦‖2−2⟨𝑥,𝐽𝑦⟩ for any 𝑥,𝑦∈𝐸, where ⟨⋅,⋅⟩ stands for the duality pair and J is the normalized duality mapping.
Hiroko Manaka
doaj   +2 more sources

Modified Fast Inertial-Type Krasnosel’skii-Mann Iterative Scheme Involving Asymptotically Nonexpansive Mapping

Computational and Mathematical Methods
It is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces.
Emmanuel Akaligwo, Micah Osilike, Noemí DeCastro-García, Angel Luis Muñoz Castañeda, David Escudero García   +4 more
doaj   +2 more sources

Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping [PDF]

Journal of Applied Mathematics, 2014
We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone
Xian Wang, Jun-min Chen, Hui Tong
doaj   +2 more sources

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source

Hybrid Algorithm of Fixed Point for Weak Relatively Nonexpansive Multivalued Mappings and Applications

Abstract and Applied Analysis, 2012
The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang, Yongfu Su, Qingqing Cheng   +2 more
doaj   +1 more source

Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space [PDF]

Journal of Hyperstructures
In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized
Omprash Sahu, Amitabh Banerjee
doaj   +1 more source

On nonexpansive mappings [PDF]

Proceedings of the American Mathematical Society, 1964
holds for all p, qEX (for all p, q with d(p, q)
openaire   +1 more source

Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications

Journal of Applied Mathematics, 2012
The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive ...
Sumei Ai, Yongfu Su
doaj   +1 more source

Billa Kalina [cartographic material] /

, 1948
Topographic map of Billa Kalina, South Australia. Relief shown by spot heights.; On verso: Mis.13079.; Also available in an electronic version via the internet at: http://nla.gov.au/nla.map ...
Australia. National Mapping Section.
core   +3 more sources

On the Weak Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications, 2010
In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively ...
Yongfu Su, Yongchun Xu
doaj   +2 more sources