A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem

Author:

Gupta Ankit1ORCID,Kumar Satish2,Sarma Ratna Dev3,Garg Pankaj Kumar3,George Reny4ORCID

Affiliation:

1. Department of Mathematics, Bharati College (University of Delhi), Delhi 110058, India

2. Department of Mathematics, University of Delhi, Delhi 110007, India

3. Department of Mathematics, Rajdhani College (University of Delhi), Delhi 110015, India

4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Abstract

In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof. The admissibility of the function space topology and KKM-Theorem have played important role in proving the results.

Publisher

Hindawi Limited

Subject

Analysis

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