EXISTENCE AND UNIQUENESS OF THE SOLUTIONS OF SOME CLASSES OF INTEGRAL EQUATIONS C*-ALGEBRA-VALUED b-METRIC SPACES.

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. [ABSTRACT FROM AUTHOR]