Existence of fixed points of weak enriched nonexpansive mappings in Banach spaces


Suantai, Suthep,  Chumpungam, Dawan  and  Sarnmeta, Panitarn


Full PDF

carpathian_2021_37_2_287_294

In this work, we introduce and study a new class of weak enriched nonexpasive mappings which is a generalization of enriched nonexpansive mappings provided by Berinde [Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces], Carpathian J. Math., 35 (2019), No. 3, 293–304]. This class of mappings generalizes several important classes of nonlinear mappings. We prove some fixed point theorems regarding this kind of mappings which extend some important results in [Berinde, V., Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces, Carpathian J. Math., 35 (2019), No. 3, 293–304]. Moreover, some examples, to ensure the existence of these mappings and support our main theorems, are also given.

Additional Information

Author(s)

  Chumpungam, Dawan ,  Sarnmeta, Panitarn, Suantai, Suthep 

DOI

https://doi.org/10.37193/CJM.2021.02.14