Ishtiaq, U.; Jahangeer, F.; Kattan, D.A.; Argyros, I.K.; Regmi, S. On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. Axioms2023, 12, 725.
Ishtiaq, U.; Jahangeer, F.; Kattan, D.A.; Argyros, I.K.; Regmi, S. On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. Axioms 2023, 12, 725.
Ishtiaq, U.; Jahangeer, F.; Kattan, D.A.; Argyros, I.K.; Regmi, S. On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. Axioms2023, 12, 725.
Ishtiaq, U.; Jahangeer, F.; Kattan, D.A.; Argyros, I.K.; Regmi, S. On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations. Axioms 2023, 12, 725.
Abstract
In this paper, we report orthogonal fuzzy versions of some celebrated iterative mappings. We provide various concrete conditions on the real valued functions J,S:(0,1]→(−∞,∞) for the existence of fixed-points of (J,S)-fuzzy iterative mappings. We obtain many fixed point theorems in orthogonal fuzzy metric spaces. We apply (J,S)-fuzzy version of Banach fixed point theorem to show the existence and uniqueness of the solution. We support these results with several non-trivial examples and applications to Volterra-type integral equations and fractional differential equations.
Computer Science and Mathematics, Applied Mathematics
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