Sentence examples for more generalized nonlinear from inspiring English sources

In this paper, we prove some new fixed point theorems for a mixed monotone mapping under more generalized nonlinear contractive conditions in a metric space endowed with partial order.

The Browder's results was extended to more generalized nonlinear variational inequalities by Liu et al. [7], Ahmad and Irfan [8], Husain and Gupta [9] and Xiao et al. [10], Zhao et al. [11].

Theorem 3.1 answers positively the open problem raised by Noor [1, 2] in the setting of a more general system of generalized nonlinear mixed quasi-variational inequalities.

At the same time, if a given matrix has a sharper diagonally dominant degree, then we may discuss more properties about generalized nonlinear diagonal dominance in [10].

Moreover, we can consider some more generalized problem with a singular nonlinear term f ( x, u ) with critical growth by the similar method in this paper and [11].

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).

Mond [3] presented a slightly different pair of symmetric dual nonlinear programs and obtained more generalized duality results than that of Dantzig et al. [2].

In [7], Kawasaki and Takahashi proved fixed point theorems and nonlinear ergodic theorems of Baillon type [4] for such widely more generalized hybrid mappings in a Hilbert space.

As a result, more generalized systems containing feedforward and nonfeedforward terms with an input delay are regulated when the proposed power order condition of the nonlinear function is satisfied.

The more anxious the companies feel about profits, the more generalized the generalized anxiety disorders get.

Sometimes the message from the red carpet is more generalized.