NEW INERTIAL IMPLICIT PROJECTION METHOD FOR SOLVING QUASI-VARIATIONAL INEQUALITIES IN REAL HILBERT SPACES


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Authors

  • ZAHOOR AHMAD RATHER University of Ladakh
  • RAIS AHMAD Aligarh Muslim University
  • TUNDUP NAMGYAL University of Ladakh

DOI:

https://doi.org/10.59287/ijanser.351

Keywords:

Quasi-Variational İnequality, Inertial Extrapolation Step, Strong Monotonicity, Inertial Methods, Convergence

Abstract

This paper introduces a new inertial implicit projection method to solve quasivariational inequalities with strongly monotone and Lipschitz continuous operators in real Hilbert spaces. We analysed the convergence of a method with varying stepsizes under suitable conditions and also discussed the complexity bound of the proposed algorithm.

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Author Biographies

ZAHOOR AHMAD RATHER, University of Ladakh

Department of Mathematics, Ladakh, India

RAIS AHMAD, Aligarh Muslim University

Departmen tof Mathematics, Aligarh, India

TUNDUP NAMGYAL, University of Ladakh

Department of Mathematics, Ladakh, India

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Published

2023-03-26

How to Cite

RATHER, Z. A., AHMAD, R., & NAMGYAL, T. (2023). NEW INERTIAL IMPLICIT PROJECTION METHOD FOR SOLVING QUASI-VARIATIONAL INEQUALITIES IN REAL HILBERT SPACES. International Journal of Advanced Natural Sciences and Engineering Researches, 7(2), 63–69. https://doi.org/10.59287/ijanser.351

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