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Well-posedness for Class of Hemi-equilibrium Problems with Perturbations in Banach Spaces


Ayed E. Hashoosh, Habeeb A. Aal-Rkhais and Evan Abdulkareem Huzam
Abstract

Well-posedness results for a minimization problem to class of hemi-equilibrium problems in reflexive Banach spaces involving α-monotone bi-functions are introduced. Moreover, some metric characterizations of wellposedness for a nonstandard equilibrium problems and for an optimization problem are established. We concentrate on the well-postness for new class of hemi-equilibrium problem with perturbations in some special cases.

Volume 10 | Issue 11

Pages: 478-487