Sentence examples for more generalized class from inspiring English sources

The mapping T is said to be Bregman quasi-Lipschitz if there exists a constant (Lgeq1) such that D_{f}(p,Tx leq L D_{f}(p,x), quad forall pin F(T), forall x in C. The mapping T is said to be Bregman quasi-nonexpansive if D_{f}(p,Tx leq D_{f}(p,x), quad forall pin F(T), forall x in C. Bregman quasi-Lipschitz mappings are a more generalized class than the class of Bregman quasi-mappings.

The measurement update of the class of adaptive filter governed by Equation 7 can be set up in a more generalized form as follows: boldsymbol{hat{x}}[k] = boldsymbol{bar{x}}[k] - munablaboldsymbol{J}[k] (11).

For example, an -generalized hybrid mapping is nonexpansive for α = 1 and β = 0, nonspreading for α = 2 and β = 1, and hybrid for α = 3 2 and β = 1 2. Recently, Maruyama et al. [10] defined a more general class of nonlinear mappings than the class of generalized hybrid mappings.

In this paper, we study the problem in more generalized function classes defined in Sect. 1 and determine the degree of approximation by almost Euler means of the double Fourier series.

In addition to the unrest in Sicily, a wave of rioting spread through Italy in August 1893, triggered by the killing of a number of migrant workers in the salt pans of Aigues Mortes in southern France escalated into a more generalized working-class revolt supported by anarchists an violent riots in Rome and Naples.

"A Song for Martin" is content to remain a more generalized case history.

They noted that the class of widely more generalized hybrid mappings contains the class of normally generalized hybrid mappings but not of quasi-nonexpansive mappings generally even with having a fixed point.

Later Levine and Serrin [12] studied blow-up of a class of more generalized abstract wave equations.

How is the practice of a geriatrician different from that of a more generalized internist or family physician?

While standard yoga classes provide a more generalized approach to movement, and sometimes to meditation, "Yoga therapy adapts the practice of yoga to the needs of people with specific or persistent health problems not usually addressed in a group class," according to Larry Payne, Ph.D., director of the Yoga Therapy RX program at Loyola Marymount University.

Recently, Kawasaki and Takahashi (J. Nonlinear Convex Anal. 14 71-87, 2013) defined a broad class of nonlinear mappings, called widely more generalized hybrid, in a Hilbert space which contains generalized hybrid mappings (Kocourek et al. in Taiwan. J. Math. 14 2497-2511, 2010) and strict pseudo-contractive mappings (Browder and Petryshyn in J. Math. Anal. Appl. 20 197-228, 1967).