No compactness assumption is imposed either on one of the mappings or on C. The results obtained in this paper improve and extend the results of Theorem IS, Zhou [14], Yao et al. [12], Tang et al. [13] and Habtu Zegeye et al. [18].
But it certainly cannot be pretended that, if the pictures and the disconnected frames had been directly shipped to the purchasers, the license tax could have been imposed, either on the vendor out of the state, or on the purchaser within the state.
No compactness assumption is imposed either on C or on T, where C is a closed and convex subset of a reflexive Banach space E and T : C → C is a Bregman nonexpansive mapping.
No compactness assumption is imposed either on the involved mappings or on the set C. The results are more applicable than those of other authors with the related interest.
In general, it does not yield convergence of the sequence to a fixed point of T. To obtain convergence to a fixed point of T, some type of compactness condition must be imposed either on K or on the map T (e.g., T may be required to be demicompact at zero, or ( I − T ) may be required to map closed bounded subsets of E into closed subsets of E, etc.; see, e.g., Chidume [8]).
To get the sequence { x n } to converge to a fixed point of T (when such a fixed point exists), some type of compactness condition must be additionally imposed either on C (e.g., C is compact) or on T. Later on, some authors tried to prove convergence of Mann iteration scheme to a fixed point of a much more general and important class of Lipschitz pseudocontractive mappings.
To get the sequence { x n } n ≥ 1 to converge to a fixed point of T (when such a fixed point exists), some type of compactness condition must be additionally imposed either on C (e.g., C is compact) or on T. Later, some authors tried to prove convergence of Mann iteration scheme to a fixed point of a much more general and important class of Lipschitz pseudocontractive mappings.
Fixed boundaries are imposed on all faces.
Taxes are imposed on businesses.
"In many cases, that is offered as a defense". The same requirement would be imposed on either consultants and the campaign committees or on individuals behind initiatives and other ballot measures, or on both.
