Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces
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DOI: 10.1108/ajms-10-2020-0098
Abstract: The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The… read more here.
Keywords: fixed point; metric spaces; integral equations; solving nonlinear ... See more keywords
Geraghty type contractions in fuzzy b-metric spaces with application to integral equations
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DOI: 10.2298/fil2009083a
Abstract: In this paper, we study the notion of a fuzzy b-metric space and establish certain fixed point results for Geraghty-type contraction in the setting of G-complete fuzzy b-metric space. We furnish an example to illustrate… read more here.
Keywords: application; fuzzy metric; integral equations; contractions fuzzy ... See more keywords