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...

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Published inVojnotehnički glasnik Vol. 68; no. 4; pp. 726 - 742
Main Authors Jakupović, Esad, Masiha, Hashem, Mitrović, Zoran, Razavi, Seyede, Saadati, Reza
Format Journal Article
LanguageEnglish
Published University of Defence in Belgrade 01.10.2020
Subjects
c-algebra
coupled fixed point
integral equation
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Summary: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.
ISSN:0042-8469
2217-4753
DOI:10.5937/vojtehg68-28632