Title of article :
Existence and uniqueness of the solutions of some classes of integral equations C*-algebra-valued b-metric spaces
Author/Authors :
Jakupović ، Esad Academy of Sciences and Arts of the Republic of Srpska , Masiha ، Hashem P. Faculty of Mathematics - K. N. Toosi University of Technology , Mitrović ، Zoran D. Faculty of Electrical Engineering - University of Banja Luka , Razavi ، Seyede S. Faculty of Mathematics - K. N. Toosi University of Technology , Saadati ، Reza School of Mathematics - Iran University of Science and Technology
Abstract :
Introduction/purpose: The aim of the paper is to establish some coupled fixed point results in C*-algebra-valued b-metric spaces. Moreover, the obtained results are used to define the sufficient conditions for the existence of the solutions of some classes of integral equations. Methods: The method of coupled fixed points gives the sufficient conditions for the existence of the solution of some classes of integral equations. Results: New results were obtained on coupled fixed points in C*-algebra-valued b-metric space. Conclusion: The obtained results represent a contribution in the fixed point theory and open new possibilities of application in the theory of differential and integral equations.
Keywords :
coupled fixed point , C* , algebra , integral equation
Journal title :
Military Technical Courier
Journal title :
Military Technical Courier
