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

Bijaya Kumar Sahu (), Sujeet Kumar () and Sabyasachi Pani ()
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Bijaya Kumar Sahu: Chandbali College
Sujeet Kumar: Indian Institute of Technology Bhubaneswar
Sabyasachi Pani: Chandbali College

OPSEARCH, 2023, vol. 60, issue 4, No 8, 1777-1792

Abstract: 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.

Keywords: Equilibrium problem; Auxiliary principle; Iterative scheme; 0-diagonally convex; 47J20; 47J30; 47H05; 90C33 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s12597-023-00655-y

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