An Iterative Shrinking Metric f-Projection Method for Finding a Common Fixed Point of Two Quasi Strict f-Pseudo-Contractions and Applications in Hilbert Spaces

Kasamsuk Ungchittrakool, Duangkamon Kumtaeng

Abstract

In this paper, we establish the significant inequality related to quasi strict $f$-pseudo contractions in 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 two quasi strict $f$- pseudo contractions. Moreover, we also provide some applications of the main theorem as well as other related results.