Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces | Zendy

Kasamsuk Ungchittrakool | Zendy

Open Access

Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces

Author(s) -

Kasamsuk Ungchittrakool

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/232765

Subject(s) - mathematics , monotone polygon , hilbert space , convergence (economics) , projection (relational algebra) , projection method , operator (biology) , inverse , fixed point , pure mathematics , weak convergence , mathematical analysis , algorithm , dykstra's projection algorithm , computer science , geometry , computer security , biochemistry , chemistry , repressor , transcription factor , economics , asset (computer security) , gene , economic growth

The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. The method allows us to obtain a strong convergence iteration for finding some fixed points of a strict pseudocontraction in the framework of real Hilbert spaces. In addition, we also provide certain applications of the main theorems to confirm the existence of the zeros of an inverse strongly monotone operator along with its convergent results

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