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An auxiliary problem principle for the solutions of mixed invex equilibrium problems in Banach spaces

Author

Listed:
  • Bijaya Kumar Sahu

    (Chandbali College
    Indian Institute of Technology Bhubaneswar)

  • Sujeet Kumar

    (Indian Institute of Technology Bhubaneswar)

  • Sabyasachi Pani

    (Chandbali College
    Indian Institute of Technology Bhubaneswar)

Abstract

In this paper, we establish some existence results on solutions for mixed invex equilibrium problems. Some auxiliary mixed invex equilibrium problems corresponding to the mixed invex equilibrium problem along with their iterative algorithm are then presented. Finally, the solvability and convergence criteria of the iterative algorithms are analyzed.

Suggested Citation

  • Bijaya Kumar Sahu & Sujeet Kumar & Sabyasachi Pani, 2023. "An auxiliary problem principle for the solutions of mixed invex equilibrium problems in Banach spaces," OPSEARCH, Springer;Operational Research Society of India, vol. 60(4), pages 1777-1792, December.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:4:d:10.1007_s12597-023-00655-y
    DOI: 10.1007/s12597-023-00655-y
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    References listed on IDEAS

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    5. Nicolae Popovici, 2017. "A decomposition approach to vector equilibrium problems," Annals of Operations Research, Springer, vol. 251(1), pages 105-115, April.
    6. Q. H. Ansari & J. C. Yao, 2001. "Iterative Schemes for Solving Mixed Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 108(3), pages 527-541, March.
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