9 research outputs found
General System of Split Monotonic Variational Inclusion Problem with Applications (Nonlinear Analysis and Convex Analysis)
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Hierarchical problems with applications to mathematical programming with multiple sets split feasibility constraints
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Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications
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Fixed point theorems for some new nonlinear mappings in Hilbert spaces
No full textAbstract 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. Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.</p
