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http://dx.doi.org/10.11568/kjm.2022.30.2.375

FIXED-POINT THEOREMS FOR (𝜙, 𝜓, 𝛽)-GERAGHTY CONTRACTION TYPE MAPPINGS IN PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS  

Goswami, Nilakshi (Department of Mathematics, Gauhati University)
Patir, Bijoy (Department of Mathematics, Bhola Nath College)
Publication Information
Korean Journal of Mathematics / v.30, no.2, 2022 , pp. 375-389 More about this Journal
Abstract
In this paper, we prove some fixed-point theorems in partially ordered fuzzy metric spaces for (𝜙, 𝜓, 𝛽)-Geraghty contraction type mappings which are generalization of mappings with Geraghty contraction type condition. Application of the derived results are shown in proving the existence of unique solution to some boundary value problems.
Keywords
fixed-point; partially ordered fuzzy metric space; altering distance; boundary value problem;
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