Set-Valued Variational Inclusions in Banach Spaces

By S. H. Chang. 2000

105 citations recorded by the source corpus.

The purpose of this paper is to introduce and study a class of set-valued variational inclusions without compactness condition in Banach spaces. By using Michael's selection theorem and Nadler's theorem, an existence theorem and an iterative algorithm for solving this kind of set-valued variational inclusions in Banach spaces are established and suggested.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b81aeb7eefdc0639586b3e21d7d994546e255b51

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Phan Nguyen Quoc Khanh
2. F. Xia
3. Nguyen Xuan Hai
4. Xie Ping Ding
5. Lam Quoc Anh
6. Muhammad Aslam Noor

In Geometry and Topology

1. F. Xia
2. Phan Nguyen Quoc Khanh
3. Nguyen Xuan Hai
4. Xie Ping Ding
5. Lam Quoc Anh
6. Muhammad Aslam Noor

Citations in the corpus

• The solution existence of general variational inclusion problems (2007, background): “Variational inclusion problems in [1,7,8] are problems of ̄nding zeroes of maximal monotone mappings.”
• A new class of completely generalized quasi-variational inclusions in Banach spaces (2002, background): “Chang et al. [6] and Chang [5] have studied some classes of set-valued variational inclusions with m-accretive operator and -strongly accretive operators in uniformly smooth Banach spaces.”