Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations
In this paper, we introduce the notion of cyclic R -contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable...
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Published in | Fixed point theory and algorithms for sciences and engineering Vol. 2016; no. 1; pp. 1 - 9 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.12.2016
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, we introduce the notion of cyclic
R
-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1687-1812 1687-1812 2730-5422 |
DOI: | 10.1186/s13663-016-0552-1 |