ON BI-SHADOWING OF SUBCLASSES OF ALMOST CONTRACTIVE TYPE MAPPINGS Page No: 3449-3453

Anwar A. Al-Badarneh

Keywords: Bi-Shadowing, almost contraction, zamfirescu mapping, quasi-contraction, generalised contraction, hardyrogers contraction

Abstract: A result on bi-shadowing for continuous single-valued contractions satisfying certain conditions has been given by Al- Badarneh (2015). In this paper, we continue the discussion of asymptotic properties of trajectories for mappings belonging to more subclasses of almost contractions. In particular, we prove that Zamfirescu Mappings, Quasi- Contractions, Generalised Contractions, and Hardy-Rogers Contractions are bi-shadowing.



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