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• W2552972199 abstract "We study equilibrium problems in Hadamard spaces, which extend variational inequalities and many other problems in nonlinear analysis. In this paper, first we study the existence of solutions of equilibrium problems associated with pseudo-monotone bifunctions with suitable conditions on the bifunctions in Hadamard spaces. Then to approximate of an equilibrium point, we consider the proximal point algorithm for pseudo-monotone bifunctions. We prove existence of the sequence generated by the algorithm in several cases in Hadamard spaces. Next, we introduce the resolvent of a bifunction in Hadamard spaces. We prove convergence of the resolvent to an equilibrium point. We also prove $bigtriangleup$-convergence of the sequence generated by the proximal point algorithm to an equilibrium point of the pseudo-monotone bifunction and also the strong convergence with additional assumptions on the bifunction. Finally, we study a regularization of Halpern type and prove the strong convergence of the generated sequence to an equilibrium point without any additional assumption on the pseudo-monotone bifunction. Some examples in fixed point theory and convex minimization are also presented." @default.
• W2552972199 created "2016-11-30" @default.
• W2552972199 creator A5008407200 @default.
• W2552972199 creator A5050216439 @default.
• W2552972199 date "2016-11-06" @default.
• W2552972199 modified "2023-09-27" @default.
• W2552972199 title "Monotone and Pseudo-Monotone Equilibrium Problems in Hadamard Spaces" @default.
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• W2552972199 hasPublicationYear "2016" @default.
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