Sentence examples for mappings then we from inspiring English sources

If is a family of nonexpansive mappings, then we obtain the following results.

If T and S are two single-valued mappings, then we obtain the following consequence.

If f, g, F and G are all single-valued mappings, then we have the following corollary.

First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces.

In this paper we first introduce the notion of proximally g-Meir-Keeler type mappings, then we study the existence and uniqueness of coupled best proximity points for these mappings.

(c) Now if f and g are weakly compatible mappings, then we have f q = f g p = g f p = g q, that is, q is the coincidence point of f and g.

In this paper, first, we introduce the concept of almost generalized ((alphamboxpsimboxvarphimboxtheta) )-contractive mappings, and then we prove some common fixed point and coincidence fixed point theorems for this class of mappings in partially ordered complete b-metric spaces.

Utilizing these results, we first propose the composite implicit and explicit relaxed extragradient-like schemes for finding a common fixed point of a finite family of strictly pseudocontractive mappings, and then we derive their strong convergence to the unique common solution of the SGEP and some HFPP.

(III) If A, B : H → H are single-valued mappings, then, from Algorithm 1, we have the following:  .

If A and B are two single-valued mappings, then from Theorem 3.2, we derive the following result.

If A, B : H → H are single-valued mappings, then, from Algorithm 1, we have the following: Algorithm 4. Let t ∈ (0, 1] be a fixed constant. For any x0, y0 ∈ H, compute the sequences {x n }, {y n } ⊂ H by the iterative processes: (2.14).