$H(\cdot,\cdot)$-mixed relaxed co-$\eta$-monotone mapping with an application for solving a resolvent equation problem

Authors

  • Haider Abbas Rizvi Aligarh Muslim University, Aligarh, India
  • Rais Ahmad Aligarh Muslim University, Aligarh, India
  • Mijanur Rahaman Aligarh Muslim University, Aligarh, India

DOI:

https://doi.org/10.30495/jme.v10i0.333

Keywords:

Relaxed, Space, Algorithm, Sequence, Solution

Abstract

In this paper, we define an $H(\cdot,\cdot)$-mixed relaxed co-$\eta$-monotone mapping and we apply the same for solving a resolvent equation problem in Hilbert spaces. We also prove some of the properties of $H(\cdot,\cdot)$-mixed relaxed co-$\eta$-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.

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Published

2015-12-23

Issue

Vol. 10

Section

Vol. 10, No 1, (2016)

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