In this paper, we consider a split equality fixed point problem for quasi-pseudo-contractive mappings which includes split feasibility problem, split equality problem, split fixed point problem etc., as special cases.
We note that the class of multi-valued relatively nonexpansive mappings is contained in a class of multi-valued Bregman relatively nonexpansive mappings which includes the class of single-valued Bregman relatively nonexpansive mappings.
Recently in [3], Chaoha introduced the notion of virtually nonexpansive mappings (which includes various nonexpansive-type mappings) on metric spaces and proved that the fixed point set of a virtually nonexpansive mapping is always a retract of a certain subset called the convergence set.
In this paper, we will consider a process for a finite family of pseudocontractive mappings which include the nonexpansive mappings as special cases.
Further, we studied some properties of ( A, η ) -accretive mappings and defined the resolvent operators associated with ( A, η ) -accretive mappings which include the existing resolvent operators as special cases.
Rhoades [8] carried out a comparative study of various classes of utilized mappings which include Kannan [2], Reich [3], Bianchini [4], Chatterjea [5], Sehgal [9], Hardy and Rogers [6], Ćirić [7] besides several other ones.
In this paper, we first introduced a system of generalized nonlinear mixed quasi-variational inclusions with ( A, η ) -accretive mappings in Banach spaces, which includes some systems of quasi-variational inclusions and variational inequality problems as special cases.
Affymetrix produce microarray genotyping technologies commonly used in GWAS, such as the Affymetrix GeneChip® platform, which includes the Mapping 500K array and the Affymetrix Genome-Wide Human SNP Array 5.0 and 6.0, assaying up to nearly 1,000,000 SNPs on a single microarray chip.
Inspired and motivated by recent research work in this field, in this paper, a general set-valued quasi-variational inclusions system with -accretive mappings is studied in Banach spaces, which includes many variational inclusions (inequalities) as special cases.
Considering our previous results, together with the present null findings, we argue, as have others, that DS specifically promotes cognitive flexibility, which includes shifting attention, reconciling varied and discrepant influences on decision making, and updating stimulus response mappings.
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