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


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


	Fixed Point Theory, Volume 19, No. 1, 2018, 45-56, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.05 Authors: Sattar Alizadeh, Hossein Dehghan and Fridoun Moradlou Abstract: 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. Key Words and Phrases: inverse-strongly monotone mapping; nonexpansive mapping; variational inequality; fixed point; CAT(0) metric space. 2010 Mathematics Subject Classification: 47H09, 47H10, 47J20, 47J25. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents