In this paper, we present some new and novel mappings defined over 0,1 with the help of GA-convex functions. As a consequence, obtain companions Fejér-type inequalities for functions these mappings, which provide refinements known results. The properties are discussed as well.

* Correspondence: [email protected]. edu.tw Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan Full list of author information is available at the end of the article Abstract In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, l...

In this paper, we consider the notion of multivalued rational type \begin{document}$ F- $\end{document} contraction mappings and prove fixed point theorems for mappings. Also give an illustrative example.

BACKGROUND In order to satisfy different needs, medical terminology systems must have richer structures. This study examines whether a Swedish primary health care version of the mono-hierarchical ICD-10 (KSH97-P) may obtain a richer structure using category and chapter mappings from KSH97-P to SNOMED CT and SNOMED CT's structure. Manually-built mappings from KSH97-P's categories and chapters to...

In this paper, with the use of newly defined class up and down log–convex fuzzy-number valued mappings, we offer a few new original mappings by applying some mild restrictions over definition mapping. With these are able to develop partners Fejér-type inequalities for log–convexity, which improve upon certain previously established findings. The discussion also includes mappings’ characteristic...

in this paper, we prove the existence of fixed point for chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. the main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.

The concept of 2-metric space is a natural generalization of the metric space. Initially, it has been investigated by Gähler [3] and has been developed broadly by Gähler [4, 5] and more. After this number of fixed point theorems have been proved for 2-metric spaces by introducing compatible mappings, which are more general than commuting and weakly commuting mappings. Jungck and Rhoades defined...

We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpa...

In this paper, we present some mappings defined over 0,1 related to the Fejér-type inequalities that have been established for harmonically convex functions. As a consequence, obtain companions of functions by using these mappings. Properties are discussed, and consequently, refinement known results.