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This is an unrooted phylogenetic network with the property that every split S= A∣ B in Σ is represented in N by a set of parallel edges, such that deleting all edges in the set will result in exactly two connected components, one labeled by the taxa in A and the other labeled by B. A class of splits of particular interest are the circular splits.
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This framework is constituted by the class of split models.
Each class of split may be characterised as either feasible or potentially feasible.
We also introduce a new class of split-plot designs with mirror image pairs constructed from non-geometric Plackett Burman designs.
The new feasibility test is extended to test the feasibility of a proposed class of split, which is defined by the specification of product regions, or sets of product compositions.
In 2013, Kazmi and Rizvi [14] considered a new class of split equilibrium problems.
Especially, Censor et al. [12] initially studied this class of split variational inequality problems.
The main aim of this paper is to propose an iterative method to find an element for solving a class of split feasibility problems under weaker conditions.
The main aim of this paper is to propose an iterative algorithm to find an element for solving a class of split mixed equilibrium problems and fixed point problems for λ-hybrid multivalued mappings under weaker conditions.
As our main result, we propose an iterative method for finding an element to solve a class of split variational inequality problems under weaker conditions and get a weak convergence theorem.
The main aim of this paper is to propose an iterative algorithm based on the shrinking projection method to find an element for solving a class of split generalized equilibrium problems and fixed point problems for a countable family of nonexpansive multivalued mappings in real Hilbert spaces.
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