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Ekelands variational principle and some related issues

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  • Chapter1.pdf

    • A generalized distance and enhanced Ekeland's variational principle for vector functions

      • Introduction

      • Weak τ-functions and generalized lower semicontinuity of a function

      • Lower closed transitive relations and minimal elements

      • The EVP

      • The EVP for the case of range space being a normed space

      • Equivalent formulations

      • Particular cases

      • Acknowledgements

      • References

  • Chapter2.pdf

    • On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings

      • Abstract

      • 1 Introduction

      • 2 Preliminaries

      • 3 Weak τ-functions

      • 4 Main results

      • 5 Some implications for the single-valued case

      • Acknowledgments

      • References

  • Chapter3.pdf

    • On Ekeland's Variational Principle for Pareto Minima of Set-Valued Mappings

      • Abstract

      • Introduction

      • Notions and Preliminaries

      • Relaxed Lower Semicontinuity Properties of Set-Valued Mappings

      • Enhanced Versions of Ekeland's Variational Principle

      • Concluding Remarks

      • Acknowledgements

      • References

  • On_generalized_Ekeland's_variational_principle_for_Pareto_minima_of_set-valued_mappings.pdf

    • On Ekeland's Variational Principle for Pareto Minima of Set-Valued Mappings

      • Abstract

      • Introduction

      • Notions and Preliminaries

      • Relaxed Lower Semicontinuity Properties of Set-Valued Mappings

      • Enhanced Versions of Ekeland's Variational Principle

      • Concluding Remarks

      • Acknowledgements

      • References

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