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Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

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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… Click to show full 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 results extend generalize compliment and include several known results as special cases.,The results of this paper are theoretical and analytical in nature.,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. apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend, generalize, compliment and include several known results as special cases.,The results are theoretical and analytical.,The results were applied to solving nonlinear integral equations.,The results has several social applications.,The results of this paper are new.

Keywords: fixed point; metric spaces; integral equations; solving nonlinear; geraghty type; modular metric

Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2021

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