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Gradient Projection Method for Quasiconvex Equilibrium Problems


Q. H. Ansari, M. S. Raju and F. Babu


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carpathian_2025_41_1_1_12

This paper proposes a gradient projection method to solve the equilibrium problems
where the bifunction is quasiconvex in its second argument.
We use the Greenberg-Pierskalla quasi-subdifferential of quasiconvex functions.
We prove the convergence of the sequence generated by the proposed algorithm under some mild assumptions.
Some examples and their numerical evolutions are illustrated where previous methods are not applicable.