The generalized projection operator on reflexive Banach spaces and its applications

By Jinlu Li. 2005

109 citations recorded by the source corpus.

Abstract In this paper, we extend the definition of the generalized projection operator π K : B ∗ → K , where B is a reflexive Banach space with dual space B ∗ and K is a nonempty, closed and convex subset of B and we study its properties and applications to solving variational inequality.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/bad1638994222ef71074e9fe1fb3dccb3d8b373d

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In Computational Theory and Mathematics

1. Ke-qing Wu
2. Nan-Jing Huang
3. Muhammad Aslam Noor

In Geometry and Topology

1. Ke-qing Wu
2. Nan-Jing Huang
3. Muhammad Aslam Noor

In Numerical Analysis

1. Ke-qing Wu
2. Nan-Jing Huang

Citations in the corpus

• The generalised f -projection operator with an application (2006, methodology): “Motivated and inspired by the above works, in this paper, we introduce and study a new class of generalised /-projection operator in Banach spaces, which extends the definition of the generalised projection operators introduced by Alber [1] and Li [17].”