Document Type : Research Paper

Authors

• M. Alimohammady
• M. Koozehgar Kallegi

Department of Mathematics, University of Mazandaran, Babolsar, Iran.

Abstract

A new class of nonlinear set-valued variational inclusions involving $(A,\eta )$-monotone mappings in a Banach space setting is introduced and then based on the generalized resolvent operator technique associated with $(A,\eta )$-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm and fixed point theory is investigated.

Keywords

• $(A,\eta )$-monotonicity
• $\delta$-Lipschitz
• $(H,\eta )$-monotone operator