文章基本信息

标题：Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic ( φ , ψ , θ ) -contraction
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作者：Hemant Kumar Nashine ; RP Pathak ; Piyusha S Somvanshi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：106
DOI：10.1186/1687-1847-2013-106
语种：English
出版社：Hindawi Publishing Corporation
摘要：We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic ( φ , ψ , θ ) -contractive mappings. Nontrivial examples are given to support the usability of our results. MSC:47H10, 54H25.
关键词：fixed point ; cyclic contraction ; metric space ; integral equation ; differential equation