Fixed Point Results of Interpolative Kannan-Type Contraction in Generalized Metric Space

Jiddah, Jamilu Abubakar; Shagari, Mohammed Shehu; Imam, Abdussamad Tanko

doi:10.1007/s40819-023-01603-6

Int. J. Appl. Comput. Math

2023

DOI: 10.1007/s40819-023-01603-6

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Fixed Point Results of Interpolative Kannan-Type Contraction in Generalized Metric Space

Jamilu Abubakar Jiddah,

Mohammed Shehu Shagari,

Abdussamad Tanko Imam

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2024

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Fractals of Interpolative Kannan Mappings

Shi,

Ishtiaq,

Din

et al. 2024

Fractal Fract

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In 2018, Erdal Karapinar introduced the concept of interpolative Kannan operators, a novel adaptation of the Kannan mapping originally defined in 1969 by Kannan. This new mapping condition is more lenient than the basic contraction condition. In this paper, we study the concept by introducing the IKC-iterated function/multi-function system using interpolative Kannan operators, including a broader area of mappings. Moreover, we establish the Collage Theorem endowed with the iterated function system (IFS) based on the IKC, and show the well-posedness of the IKC-IFS. Interpolative Kannan contractions are meaningful due to their applications in fractals, offering a more versatile framework for creating intricate geometric structures with potentially fewer constraints compared to classical approaches.

show abstract

Fractals of Interpolative Kannan Mappings

Shi,

Ishtiaq,

Din

et al. 2024

Fractal Fract

View full text Add to dashboard Cite

show abstract

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Fixed Point Results of Interpolative Kannan-Type Contraction in Generalized Metric Space

Cited by 1 publication

References 19 publications

Fractals of Interpolative Kannan Mappings

Fractals of Interpolative Kannan Mappings

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