Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 42, Issue 6, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-023-02431-6
Keywords
Nonlinear fractional differential equation; Extended Menger probabilistic; b-metric space; Extended rectangular Menger probabilistic b-metric space; Multi-valued; mapping
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This article introduces the concepts of extended Menger probabilistic b-metric space and extended rectangular Menger probabilistic b-metric space, and obtains new fixed-point results for single-valued and multi-valued mappings in both spaces. In addition, we present two applications involving integral and fractional differential equations, proving the existence of solutions.
We introduce the notions of extended Menger probabilistic b -metric space and extended rectangular Menger probabilistic b -metric space. Thereafter, we obtain new fixed-point results for single-and multi-valued mappings in both spaces. Additionally, we present two applications, involving integral, and fractional differential, equations, proving the existence of solutions.
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