Convergence Analysis of Resolvent Equation Technique for Co-Variational Inequality Problem in Banach Spaces

Authors

  • Haider Abbas Rizvi Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah 211, Sultanate of Oman https://orcid.org/0000-0001-7708-4079
  • Mijanur Rahaman Department of Mathematics, Syamaprasad College, Kolkata 700026, India https://orcid.org/0000-0001-7894-822X
  • Imran Ali Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Guntur 522302, India https://orcid.org/0000-0001-8139-6657

DOI:

https://doi.org/10.37256/cm.5220243429

Keywords:

co-variational inequality, co-resolvent equation, equivalence, algorithm

Abstract

In this work, a co-variational inequality problem and a co-resolvent equation problem are introduced and investigated. It is shown that the fixed point problem is equivalent to the problem of co-variational inequality. The co-variational inequality problem and the co-resolvent equation problem are equivalent due to this resemblance. The coresolvent equation problem is solved using an iterative approach that we provide at the final stage. Our findings may be seen as an enhancement of several established findings.

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Published

2024-06-03

How to Cite

1.
Rizvi HA, Rahaman M, Ali I. Convergence Analysis of Resolvent Equation Technique for Co-Variational Inequality Problem in Banach Spaces. Contemp. Math. [Internet]. 2024 Jun. 3 [cited 2024 Jun. 13];5(2). Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3429

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