Caristi Fixed Point Theorem in Mv-Metric Spaces

Pholasa, Nattawut; Antal, Swati; Uddin, Izhar; Gairola, U. C.

doi:10.46719/dsa20213039

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2024

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“…In 2014, Asadi et al [11] extended the concept of partial metric space and introduced the notion of m-metric spaces to investigate fixed point. This concept was extended in many different ways, such as m b -metric space [12], m v -metric space [13,14], and rectangular m-metric space [15]. Also in this sequel, Patle et al [16] extended the notion of m-metric by proving fixed point results for Nadler and Kannan type set valued mappings in m-metric spaces.…”

Section: Introductionmentioning

confidence: 99%

Some New Aspects of Metric Fixed Point Theory

Javed

Uddin

Işık

et al. 2021

Advances in Mathematical Physics

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In this manuscript, we prove fixed point results in R m -metric spaces endowed with an amorphous binary relation. Moreover, we give an example to highlight the utility of our main results. Finally, we apply our result to examine the existence and uniqueness of the solution for a Fredholm integral equation.

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