H(., .)-φ-η-mixed accretive mapping with an application
Abstract
The motive of this article to introduce the notion called H(., .)-φ-η-mixed accretive mappings in Banach spaces. We generalized the idea of proximal-point mappings related with generalized m-accretive mappings to the H(., .)-φ-η-mixed accretive mappings and perusal its aspects single-valued property as well as Lipschitz continuity. Since proximal point mapping plays an important role to solve variational inclusion problems. Therefore, we design an iterative algorithm involving introduced proximal point mapping to solve variational inclusion problem. In last, we discuss its convergence with considerable assumptions.
Copyright © 2020 Sanjeev Gupta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Gupta, H(., .)-φ-η-mixed accretive mapping with an application, J. Math. Comput. Sci. 10 (2020), 2327–2341. https://doi.org/10.28919/jmcs/4853
BibTeX
@article{Gupta2020,
author = {Gupta, Sanjeev},
title = {H(., .)-φ-η-mixed accretive mapping with an application},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {2327--2341},
doi = {10.28919/jmcs/4853}
}