Sentence examples for mappings in order from inspiring English sources

Below we include a nontrivial example of an infinite family of Bregman weak relatively nonexpansive mappings in order to reconstruct a Bregman W-mapping in the setting of Hilbert spaces.

We present fundamental definitions related to multivalued mappings in order to fix our terminology.

In 2008 Suzuki [8] introduced a new type of mappings in order to generalize the well-known Banach contraction principle.

Nemeth [15] introduced weakly Lipschitz mappings in order to obtain a nontrivial solution of nonlinear complementarity problems.

Many mathematicians (e.g., [1, 2, 3, 4, 5, 6]) proved several fixed point theorems to explore some new contraction-type mappings in order to generalize the classical Banach Contraction Principle.

Afterward, Jungck [13] introduced the concept of compatible single-valued mappings in order to generalize the concept of weak commutativity by Sessa [12] and showed that weakly commuting mappings are compatible, but the converse is not true.

The main purpose of this paper is to introduce and study a new class of generalized nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous mappings in ordered Banach spaces.

In this article, we introduce the notion of almost generalized -contractive mappings in ordered metric spaces and we establish some fixed and common fixed point results in ordered complete metric spaces.

In 2014, a class of nonlinear mixed ordered inclusion problems for ordered ( α A, λ ) -ANODM set-valued mappings with strong comparison mapping A [27] and sensitivity analysis for GSV parametric OVI with -NODSM mappings in ordered Banach spaces [28] were introduced and studied.

The measurability of order continuous random mappings in ordered Polish spaces is studied.

In 2009, Dorić [12] proved some fixed point theorems for generalized -weakly contractive mappings in ordered metric spaces.