Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces

In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing litera...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2021; pp. 1 - 11
Main Authors Teweldemedhin, Solomon Gebregiorgis, Tola, Kidane Koyas
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
Hindawi Limited
Subjects
Integral equations
Metric space
Partial differential equations
Simulation
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Summary:In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.
ISSN:1085-3375
1687-0409
DOI:10.1155/2021/5988007