Sentence examples for mappings and real from inspiring English sources

In 2009, Kangtunykarn and Suantai [5] introduced the S-mapping generated by a finite family of nonexpansive mappings and real numbers as follows: Definition 2.1.

Then lim n → ∞ s n = 0. From the S-mapping, we define the mapping generated by two sets of finite families of the mappings and real numbers as follows.

In 2009, Kangtunyakarn and Suantai [21] introduced the S-mapping generated by a finite family of κ-strictly pseudo contractive mappings and real numbers as follows: Definition 2.1.

Schu [2] generalized the result in [1] to both uniformly continuous strongly pseudo-contractive mappings and real smooth Banach spaces.

In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.

where W n is the W-mapping generated by a finite family of nonexpansive mappings and real numbers, A : C → H is relaxed (u,v) cocoercive and μ-Lipschitz continuous, and P C is a metric projection H onto C.

In this paper converses of a generalized Jensen's inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real-valued continuous convex functions are studied.

where is a contraction mapping and is -mapping generated by infinite family of nonexpansive mappings and infinite real number.

43 487-502, 2012) and to introduce the K-mapping generated by a finite family of strictly pseudo-contractive mappings and finite real numbers modifying the results of Kangtunyakarn and Suantai (Nonlinear Anal. 71 4448-4460, 2009).

In this paper, motivated by Theorem 1.2, Algorithm 1.3 and (1.6), we modify the generalized equilibrium problem introduced by Ceng et al. [16] and introduce the K-mapping generated by a finite family of strictly pseudo-contractive mappings and finite real numbers modifying the results of Kangtunyakarn and Suantai [13].

where W n is a W-mapping generated by an infinite family of nonexpansive mappings and infinite real numbers.