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RESEARCH PRODUCT
On modified α-ϕ-fuzzy contractive mappings and an application to integral equations
Poom KumamPoom KumamCalogero VetroUrmila Mishrasubject
integral equationsGeneralization02 engineering and technologyFixed point01 natural sciencesFuzzy logicSettore MAT/05 - Analisi Matematica0202 electrical engineering electronic engineering information engineeringmodified α-ϕ-fuzzy contractive mappingDiscrete Mathematics and Combinatorics0101 mathematicsα-admissible mapping with respect to ηMathematicsDiscrete mathematicsbusiness.industryApplied Mathematicslcsh:MathematicsUsabilitylcsh:QA1-939Integral equationFuzzy metric space010101 applied mathematicsAlgebraintegral equationfixed point020201 artificial intelligence & image processing$alpha$-admissible mapping with respect to $eta$ fixed point modified $alpha$-$phi$-fuzzy contractive mapping integral equationsbusinessAnalysisdescription
Abstract We introduce the notion of a modified α-ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings. The theorems presented provide a generalization of some interesting results in the literature. Two examples and an application to integral equations are given to illustrate the usability of our theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-02-18 | Journal of Inequalities and Applications |