An Iterative Shrinking Metricf-Projection Method for Finding a Common Fixed Point of a Closed and Quasi-Strictf-Pseudocontraction and a Countable Family of Firmly Nonexpansive Mappings and Applications in Hilbert Spaces | Zendy

Kasamsuk Ungchittrakool | Zendy; Duangkamon Kumtaeng | Zendy

Open Access

An Iterative Shrinking Metricf-Projection Method for Finding a Common Fixed Point of a Closed and Quasi-Strictf-Pseudocontraction and a Countable Family of Firmly Nonexpansive Mappings and Applications in Hilbert Spaces

Author(s) -

Kasamsuk Ungchittrakool,

Duangkamon Kumtaeng

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/589282

Subject(s) - countable set , algorithm , hilbert space , projection (relational algebra) , metric space , metric (unit) , mathematics , computer science , discrete mathematics , mathematical analysis , operations management , economics

We create some new ideas of mappings called quasi-strict f-pseudocontractions. Moreover,we also find the significant inequality related to such mappings and firmly nonexpansive mappings within the framework ofHilbert spaces. By using the ideas of metric f-projection, we propose an iterative shrinking metric f-projection methodfor finding a common fixed point of a quasi-strict f-pseudocontraction and a countable family of firmly nonexpansivemappings. In addition, we provide some applications of the main theorem to find a common solution of fixed pointproblems and generalized mixed equilibrium problems as well as other related results

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