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We proposed a primal-dual-based contraction framework in the prediction-correction fashion.
The paper presents aspects of implementation of a new high performance tensor contraction framework for the numerical analysis of coupled and multi-physics problems on streaming architectures.
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In Section 2, we propose the primal-dual-based contraction algorithm framework in prediction-correction fashion.
Recursive design of control function based on contraction theory framework is proposed instead of traditional Lyapunov based method.
This has allowed some to shrug off the idea that the global Contraction and Convergence framework is required, on the grounds that a grindingly slow step-by-step approach is what ensures buy-in.
Motivated by [4], we determine in this paper some triple fixed point theorems for nonlinear contractions in the framework of partially ordered generalized metric spaces and obtain uniqueness theorems for contractive type mappings in this setting.
In the following we shall introduce the notion of k-ordered B-contractions in the framework of noncommutative Banach spaces and prove some common fixed point theorems.
Shatanawi and Postolache proved in [32] the following common fixed point results for cyclic contractions in the framework of ordered metric spaces.
Recently, Chang et al. [7] studied the multiple-set split feasibility problem for an asymptotically strict pseudo-contraction in the framework of infinite-dimensional Hilbert spaces.
Browder [1] proved the first existence result of fixed point for demi-continuous pseudo-contractions in the framework of Hilbert space.
In this paper, we suggest and analyze a hybrid algorithm for solving generalized mixed equilibrium problems and fixed point problems of a Lipschitz pseudo-contraction in the framework of Hilbert spaces.
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