Korean J. Math. Vol. 30 No. 2 (2022) pp.375-389
DOI: https://doi.org/10.11568/kjm.2022.30.2.375

Fixed-point theorems for ($\phi,\psi$,$\beta$)-Geraghty contraction type mappings in partially ordered fuzzy metric spaces with applications

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Published: Jun 30, 2022
Keywords:
fixed point, partially ordered fuzzy metric space, altering distance, boundary value problem
Mathematics Subject Classification:
54H25, 47H10

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Nilakshi Goswami
Department of Mathematics, Gauhati University Guwahati-781014, Assam, India
Bijoy Patir
Department of Mathematics, Bhola Nath College Dhubri-783324, Assam, India

Abstract

In this paper, we prove some fixed-point theorems in partially ordered fuzzy metric spaces for $(\phi,\psi,\beta)$-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.


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