Abstract
AbstractThe purpose of this study is to demonstrate results on fixed point theory in quasi-partial b-metric space recognizing a new type of mapping, which is a blend of F-contraction and Kannan contraction, and to establish the fixed point results in F-expanding type mappings. Additionally, the obtained results are the application of the contractive mappings to functional equations. Furthermore, Mathematica software is used to demonstrate the 3D shapes of the examples discussed here.
Publisher
Springer Science and Business Media LLC
Reference36 articles.
1. Banach, S.: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundam. Math. 3(84), 133–181 (1922)
2. Browder, F.E., Petryshyn, W.V.: The solution by iteration of non-linear functional equations in Banach spaces. Bull. Am. Math. Soc. 72, 571–575 (1966)
3. Hu, T.K.: On a fixed-point theorem for metric spaces. Am. Math. Mon. 74, 436–437 (1967)
4. Kannan, R.: Some results on fixed points. Bull. Calcutta Math. Soc. 10, 71–76 (1968)
5. Bakhtin, I.A.: The contraction mapping principle in almost metric spaces. Funct. Anal. 30, 26–37 (1989)
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