Δ-convergence theorems for inverse-strongly monotone mappings in CAT(0) spaces

Sattar Alizadeh, Hossein Dehghan, Fridoun Moradlou · Fixed Point Theory · 2018

In this paper, we first define and study inverse-strongly monotone mappings in general metric spaces. Then, we prove the existence theorem of solutions for variational inequalities involving such mappings. Finally, we introduce an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for inverse-strongly monotone mappings in CAT(0) metric spaces.

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