H(·, ·)-Mixed Relaxed Co-η-Monotone Mapping with an Application for Solving a Resolvent Equation Problem

Author(s):

H. A. Rizvi , R. Ahmad∗ , M. Rahaman

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

In this paper, we define an H(·, ·)-mixed relaxed co-ηmonotone mapping and we apply the same for solving a resolvent equation problem in Hilbert spaces. We also prove some of the properties of H(·, ·)-mixed relaxed co-η-monotone mapping. A mann-type iterative algorithm is developed to approximate the solution of resolvent equation problem. Convergence of the iterative sequences is also demonstrated. In support of the concept of H(·, ·)-mixed relaxed co-η-monotone mapping, we construct an example.

Keywords:

Relaxed , space , algorithm , sequence , solution

Language:
English
Published:
Journal of Mathematical Extension, Volume:10 Issue: 1, Winter 2016
Pages:
23 to 40
https://www.magiran.com/p2265560