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

A Gupta, S Kumar, RD Sarma, PK Garg… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we discuss two variants of the generalized nonlinear vector variational‐like
inequality problem. We provide their solutions by adopting topological approach …

Well-posedness of generalized vector variational inequality problem via topological approach

S Kumar, A Gupta - Rendiconti del Circolo Matematico di Palermo Series …, 2024 - Springer
In this paper, we discuss well-posedness for a generalized vector variational inequality
problem (GVVIP, in short) in the framework of topological vector spaces. Unlike in the …

Topological variants of vector variational inequality problem

S Kumar, A Gupta, PK Garg - La Matematica, 2022 - Springer
In this paper, we provide a couple of solutions for the vector variational inequality problem,
adopting a topological approach. We consider here a more general framework, where X and …

Topological Complexity Related To Multi-Valued Functions

M İs - arXiv preprint arXiv:2310.16422, 2023 - arxiv.org
In this paper, we deal with the robot motion planning problem in multi-valued function theory.
We first enrich the multi-homotopy studies by introducing a multi-homotopy lifting property …

[PDF][PDF] Topological solutions of η-generalized vector variational-like inequality problems

S Kumar, A Gupta, PK Garg, RD Sarma - Math. Appl, 2021 - researchgate.net
In this paper, we discuss several variants of the η-generalized vector variational-like
inequality problem and provide existence theorems for their solutions via a topological …

A topological approach for vector quasi-variational inequalities with set-valued functions

Sonia, RD Sarma - Computational Management Science, 2023 - Springer
The focus of this paper is to employ a new topological condition, based on admissibility of
the function space topology, to provide existence results for a generalized vector quasi …

A study of uniformities on the space of uniformly continuous mappings

A Gupta, AS Hamarsheh, RD Sarma, R George - Open Mathematics, 2020 - degruyter.com
New families of uniformities are introduced on UC (X, Y), the class of uniformly continuous
mappings between X and Y, where (X, U) and (Y, V) are uniform spaces. Admissibility and …

Generalized vector quasi-variational-like inequality problem: a new approach

Sonia, R Dev Sarma - Rendiconti del Circolo Matematico di Palermo …, 2023 - Springer
In this paper, we are devoted to investigating the existence of the Generalized Vector Quasi-
Variational-Like Inequality Problem by using a new approach. Here we use admissibility of …

Topological Approaches for Vector Variational Inequality Problems

A Gupta, S Kumar, PK Garg - Advances in Topology and Their …, 2023 - Springer
In this chapter, we discuss several variants of variational inequality problems that exist in the
literature. We also discuss solutions to the vector variational inequality problem and …

[PDF][PDF] On dual topologies for function spaces over Cµ, ν (Y, Z)

A Gupta, RD Sarma - Sci. Stud. Res. Ser. Math. Inform. Sci. Stud. Res …, 2018 - pubs.ub.ro
Dual topologies for function space topologies between generalized topological spaces are
defined. The point-open topology, compact-open topology and (µ, ν)-topology on Cµ, ν (Y, Z) …