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

Nilakshi Goswami|Bijoy Patir
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.06|한국수학논문집 (Korean Journal of Mathematics)|제30권 제2호|pp. 375-389

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참고문헌

키워드

fixed-pointboundary value problempartially ordered fuzzy metric spacealtering distance
주제분류수학

초록

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.

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.

참고문헌 (21)

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