@article{Ullah2023, 
author = {Kifayat Ullah and Junaid Ahmad and Hasanen A. Hammad and Reny George},
title = {Iterative schemes for numerical reckoning of fixed points of new nonexpansive mappings with an application},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {10711-10727},
keywords = {generalized operator, demiclosed principle, fixed point, convergence result, Banach space},
url = {https://www.sciopen.com/article/10.3934/math.2023543},
doi = {10.3934/math.2023543},
abstract = {The goal of this manuscript is to introduce a new class of generalized nonexpansive operators, called    (  α  ,  β  ,  γ  )-nonexpansive mappings. Furthermore, some related properties of these mappings are investigated in a general Banach space. Moreover, the proposed operators utilized in the    K-iterative technique estimate the fixed point and examine its behavior. Also, two examples are provided to support our main results. The numerical results clearly show that the    K-iterative approach converges more quickly when used with this new class of operators. Ultimately, we used the    K-type iterative method to solve a variational inequality problem on a Hilbert space.}
}