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20222026
most citedLevitin-Polyak Well-posedness for Split Equilibrium Problems

5 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.OC2026

Multi-split Multiple-sets Implicit Convex Feasibility Seeking As Split Inverse Problems

Yair Censor, Soumitra Dey

We introduce a new class of problems, termed multi-split multiple-sets implicit convex feasibility problems (MSMS-ICFPs), define a proximity function for it and analyze its propert…

math.OC2023

Levitin-Polyak well-posedness of split multivalued variational inequalities

Soumitra Dey, Simeon Reich

We introduce and study the split multivalued variational inequality problem (SMVIP) and the parametric SMVIP. We examine, in particular, Levitin-Polyak well-posedness of SMVIPs and…

math.OC2023

New iterative algorithms for solving split variational inclusions

Soumitra Dey, Chinedu Izuchukwu, Adeolu Taiwo +1

In this paper we study a class of split variational inclusion (SVI) and regularized split variational inclusion (RSVI) problems in real Hilbert spaces. We discuss various analytica…

math.OC2023

Well-posedness for the split equilibrium problem

Soumitra Dey, V. Vetrivel, Hong-Kun Xu

We extend the concept of well-posedness to the split equilibrium problem and establish Furi-Vignoli-type characterizations for the well-posedness. We prove that the well-posedness…

math.OC2022★ 5 cited

Levitin-Polyak Well-posedness for Split Equilibrium Problems

Soumitra Dey, Aviv Gibali, Simeon Reich

The notion of well-posedness has drawn the attention of many researchers in the field of nonlinear analysis, as it allows to explore problems in which exact solutions are not known…

math.OC2022

A Neural Network for Solving Inverse Quasi-Variational Inequalities

Soumitra Dey, Simeon Reich

We study the existence and uniqueness of solutions to the inverse quasi-variational inequality problem. Motivated by the neural network approach to solving optimization problems su…