Sentence examples for mappings which in from inspiring English sources
In so doing, this study calls for more engagement with the multi-modality aspect of visuality in mappings, which in turn may have implications for landscape design and planning.
Recently, García-Falset et al. [7] introduced two generalizations of nonexpansive mappings which in turn include Suzuki generalized nonexpansive mappings contained in [24].
In [1], Karamardian and Schaible gave seven kinds of generalized monotone mappings which, in the case of gradient mappings, were related to a generalized convex function.
Recently, García-Falset et al. [6] introduced two generalizations of nonexpansive mappings which in turn include Suzuki generalized nonexpansive mappings contained in [7] and also utilized the same to prove some fixed point theorems.
The aim of this paper is to prove similar results in CAT ( 0 ) spaces for generalized nonexpansive mappings, which, in turn, generalize the corresponding results of Takahashi and Kim (Math. Jpn. 48 1-9 48 1-9 , 1998LaokulPandanak (Int. J. Math. Anal. 3(25-28):1305-1315, 2009), Razani and Salahifard (Bull. Iran. Math. Soc. 37(1):235-246, 2011) and some others.
The admissible mapping is a large class of set-valued mappings, such a class contains composites of a lot of well-known set-valued mappings, which appear in nonlinear analysis and algebraic topology; for more details, see [16].
It is conceivable that the irregular mapping optimization of N(N>2) mappings may achieve a better error performance than the irregular mapping optimization of two mappings, which is not discussed in this paper and is currently under investigation.
The above result is still true for nonspreading mappings which was shown in Kohsaka and Takahashi [4].
Furthermore, it is showed that this class includes the various classes of contractive mappings which is introduced in Section 1.
The class of asymptotically quasi-ϕ-nonexpansive mappings which was investigated in [7] and [8] includes the class of quasi-ϕ-nonexpansive mappings as a special case.
We need some tools in a real Hilbert space H, and some facts about k-strict pseudo-contractive mappings which are listed in the following auxiliary lemmas.
