Extensions and applications of ACF mappings
Jean-Philippe Chancelier (CERMICS)
TL;DR
This paper introduces new fixed point theorems for cyclic and alternating mappings based on ACF mappings, extending previous results in the field.
Contribution
It develops novel fixed point theorems for cyclic and alternating mappings using ACF-based ASF sequences, broadening the scope of existing fixed point results.
Findings
New fixed point theorems for cyclic mappings
Extension of results by Suzuki and Zhang
Application of ASF sequences to fixed point theory
Abstract
Using a definition of ASF sequences derived from the definition of asymptotic contractions of the final type of ACF, we give some new fixed points theorem for cyclic mappings and alternating mapping which extend results from T.Suzuki and X.Zhang.
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