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In this paper, we introduce generalized hybrid mapping on CAT(0) spaces. The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration processes for generalized hybrid mappings(More)
In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray's type theorem for these nonlinear mappings.(More)
In this paper, we presented new and important existence theorems of solution for quasi-equilibrium problems, and we show the uniqueness of its solution which is also a fixed point of some mapping. We show that this unique solution can be obtained by Picard's iteration method. We also get new minimax theorem, and existence theorems for common solution of(More)
In this paper, we consider a more general form of generalized abstract economy with a fuzzy constraint correspondence studied in [15, 17]. We establish some existence results for an equilibrium of our generalized abstract economy. We also consider a system of quasi-minimax inequalities and note that it is a unified model of several problems. As applications(More)
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