Perturbed mixed variational-like inequalities

Misbah Iram Bloach; Muhammad Aslam Noor; Misbah Iram Bloach; Muhammad Aslam Noor

doi:10.3934/math.2020143

AIMS Mathematics

2020, Volume 5, Issue 3: 2153-2162. doi: 10.3934/math.2020143

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Research article

Perturbed mixed variational-like inequalities

Misbah Iram Bloach ,
Muhammad Aslam Noor ^,

Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

Received: 23 December 2019 Accepted: 14 February 2020 Published: 27 February 2020
MSC : 90C40, 26D15, 26D10, 90C23

Perturbed mixed variational-like inequalities is a newly developed class of variational-like inequalities. The existence of a unique solution of perturbed mixed variational-like inequalities is being conducted by using auxiliary principle technique. As special cases, many known and new results are obtained from our results. It is an interesting problem to develop some efficient numerical techniques for solving perturbed variational-like inequalities.
- perturbed mixed variational-like inequality,
- auxiliary principle technique,
- existence
Citation: Misbah Iram Bloach, Muhammad Aslam Noor. Perturbed mixed variational-like inequalities[J]. AIMS Mathematics, 2020, 5(3): 2153-2162. doi: 10.3934/math.2020143

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Abstract

Perturbed mixed variational-like inequalities is a newly developed class of variational-like inequalities. The existence of a unique solution of perturbed mixed variational-like inequalities is being conducted by using auxiliary principle technique. As special cases, many known and new results are obtained from our results. It is an interesting problem to develop some efficient numerical techniques for solving perturbed variational-like inequalities.

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