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On the solution set of semi-infinite tensor complementarity problem

R. Deb, A. K. Das

Abstract

In this paper, we introduce semi-infinite tensor complementarity problem to provide an approach for considering a more realistic situation of the problem. We prove the necessary and sufficient conditions for the existence of the solution set. In this context, we study the error bounds of the solution set in terms of residual function.

On the solution set of semi-infinite tensor complementarity problem

Abstract

In this paper, we introduce semi-infinite tensor complementarity problem to provide an approach for considering a more realistic situation of the problem. We prove the necessary and sufficient conditions for the existence of the solution set. In this context, we study the error bounds of the solution set in terms of residual function.
Paper Structure (5 sections, 38 equations)

This paper contains 5 sections, 38 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Main results
  4. Conclusion
  5. Acknowledgment

Theorems & Definitions (7)

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