Affiliations: [a] Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Department of Mathematics, Muş Alparslan University, Muş, Turkey
| [d] Department of Mathematics, University of Gazi, Ankara, Turkey
Correspondence:
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Corresponding author. Hüseyin Işık, Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: [email protected].
Abstract: In this work, we prove a new fixed point theorem in the setting fuzzy metric spaces. The fuzzy metric space considered here is assumed to have two partial orders defined on it. We introduce a new approach to the existence of a fixed point of a function satisfying the two constraint inequalities. An example is included which illustrates new results of this paper. Moreover, an application of our result to the study of integral equations is provided.
Keywords: Common fixed points, constraint inequalities, G-complete fuzzy metric spaces, partial order
