NONLINEAR VARIATIONAL INCLUSIONS INVOLVING $(A,\ETA)$ MONOTONE MAPPINGS IN HILBERT SPACES

Authors

  • T. Ram UNIVERSITY OF JAMMU
  • M. Iqbal University of Jammu

Keywords:

$(A,\eta)$ monotone mapping, nonlinear variational inclusions, resolvent operator, Hilbert space.

Abstract

In this work, we consider the nonlinear variational inclusion problem (NVIP) in real Hilbert spaces, which involves $(A,\eta)$-monotone mappings. We propose an iterative algorithm for finding the approximate solution to (NVIP) by using the resolvent operator technique, and we also explore the convergence criteria of the sequence generated by the resolvent iterative algorithm under some appropriate conditions.

Author Biography

M. Iqbal, University of Jammu

Research Scholar, Department of Mathematics, University of Jammu, Jammu

Additional Files

Published

06/30/2025

Issue

Vol. 16 No. 1 (2025): January-June 2025

Section

Research Articles

License

Copyright (c) 2025 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.