Iterative scheme generating method for demiclosed and 2-demiclosed mappings

Authors

Atsumasa Kondo Shiga University

Keywords:

Iterative scheme generating method, common fixed point, demiclosed mapping, 2-demiclosed mapping

Abstract

This study extends iterative scheme generating methods (ISGMs) to apply to general classes of mappings. In contrast to previous studies, this study examines quasi-nonexpansive and 2-demiclosed mappings, in addition to quasi-nonexpansive and demiclosed mappings. By doing so, we can consider a class of mappings called normally 2-generalized hybrid mappings. For these extended classes of mappings, we develop the ISGMs that generate various iterative schemes to locate common fixed points.

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