A Modified Averaging Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of k-Strictly Asymptotically Pseudocontractive Mappings

Abstract

The composite implicit iteration process introduced by Su and Li [J. Math. Anal. Appl. 320 (2006) 882-891] is modified. A strong convergence theorem for approximation of common fixed points of finite family of k  strictly asymptotically pseudo-contractive mappings is proved in Banach spaces using the modified iteration process.

Aproximate Cycles of the Second Kind in Hilbert space for a Generalized Barbashin-Ezeilo Problem

“…This implies that T is asymptotically pseudocontractive, and thus we can apply the results of [8] and [9]. This is the desired result.…”

“…This will enable us to apply the Osilike-Akuchu Theorem in [10] and the results of Igbokwe and Udo-utun Theorem in [8] to show that the resulting feedback problem (1.1) has a fixed point in Banach space for all α (and in Hilbert space for α > 0).…”