By principal motivation from the results of new iterative scheme that produces faster than K-iteration. In this article, we study generalized by a iteration to approximate fixed points contraction and Suzuki non-expansive mappings. We establish strong convergence mappings closed convex Banach space also deduce data dependent results. Furthermore, prove some weak theorems in sense mapping applyi...

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α - F contraction integral mappings in context metric spaces and establish some fixed point results. We construct an example to show existence this work. Our results substantially unify, generalize complement comparable existing literature. As application our results, derive periodic for single valued...

The main objective of this article is to introduce a fixed-point result involving two mappings satisfying contraction in metric-like space. has been designed the following manner. In first section authors have mentioned some definitions and commonly used notations. second section, they results. third introduced their last using these results, obtained conditions that assure existence common fix...

The purpose of this paper is to present the definition of [Formula: see text]-contractive mapping and to discuss the relation of [Formula: see text]-contractive mappings and [Formula: see text]-contractive mappings. Furthermore, the generalized [Formula: see text]-contraction mapping principle has been proved without the uniqueness condition. Meanwhile, the generalized [Formula: see text]-contr...

This study is devoted to investigate the problem whether existence and uniqueness of integral type contraction mappings on orthogonal metric spaces. At end, we give an example illustrative our main result.

Important problems in wireless networks can often be solved by computing fixed points of standard or contractive interference mappings, and the conventional fixed point algorithm is widely used for this purpose. Knowing that the mapping used in the algorithm is not only standard but also contractive (or only contractive) is valuable information because we obtain a guarantee of geometric converg...

In this work, we discuss the definition of the Reich contraction single or multivalued mappings defined in a modular metric space. In our investigation, we prove the existence of fixed point results for these mappings. c ©2016 All rights reserved.

Abstract In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which involves nonsingular kernel. First apply α - ℓ -contraction and -type F mappings to the existence uniqueness of solutions for such problems. Finally, use some contraction in complete $\mathfrak{F}$ F -metri...

In this paper, we have established and proved fixed point theorems for the Boyd-Wong-type contraction in metric spaces. particular, generalized existing results a pair of mappings that possess but not continuous at point. We can apply result both discontinuous mappings. concluded our by providing an illustrative example each case application to existence uniqueness solution nonlinear Volterra i...