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

作者：Ungchittrakool Kasamsuk^*; Kumtaeng Duangkamon

来源：Abstract and Applied Analysis, 2013, 589282.

DOI：10.1155/2013/589282

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 of Hilbert spaces. By using the ideas of metric f-projection, we propose an iterative shrinking metric f-projection method for finding a common fixed point of a quasi-strict f-pseudocontraction and a countable family of firmly nonexpansive mappings. In addition, we provide some applications of the main theorem to find a common solution of fixed point problems and generalized mixed equilibrium problems as well as other related results.

• 出版日期2013