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

Ankit Gupta | Zendy; Satish Kumar | Zendy; Ratna Dev Sarma | Zendy; Pankaj Kumar Garg | Zendy; Reny George | Zendy

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

Author(s) -

Ankit Gupta,

Satish Kumar,

Ratna Dev Sarma,

Pankaj Kumar Garg,

Reny George

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4488217

Subject(s) - mathematics , compact space , nonlinear system , vector space , variational inequality , topological vector space , topological space , function space , topology (electrical circuits) , space (punctuation) , pure mathematics , computer science , combinatorics , physics , quantum mechanics , operating system

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.

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