Annals of Communications in Mathematics

Abderrahmane Boudraa and Taieb Hamaizia
System Dynamics and Control Laboratory, Department of Mathematics and Informatics, OEB University, Algeria.
Email: abderrahmane.boudraa09@gmail.com, tayeb042000@yahoo.fr

Abstract. In this paper, we prove a coincidence point theorem in the context of b-metric spaces. The result is achieved by extending the known conditions of existence and uniqueness through the use of simulation functions. An example is also provided to support the obtained result.

To be Cited as:

Abderrahmane Boudraa and Taieb Hamaizia, Some new coincidence point results in b-metric spaces using a simulation function, Annals of Communications in Mathematics, https://www.technoskypub.com/journal/acm/accepted-papers/

Christophe Chesneau
Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France.
Email: christophe.chesneau@gmail.com

Abstract.

This article investigates some new connections between the Hilbert and Hardy integral inequalities. In particular, two general theorems are established, both based on integral terms derived from those used in these two famous inequalities. They have the property of depending on two functions and one modulable parameter. Applications and examples are given to specific cases combining Hilbert and Hardy type integral inequalities. Emphasis is placed on a particular weighted integral term, showing how our results can be used to improve what can be obtained with some classical integral inequalities in the literature.

To be Cited as:

Christophe Chesneau, On some connections between Hilbert and Hardy type integral inequalities, Annals of Communications in Mathematics, https://www.technoskypub.com/journal/acm/accepted-papers/