Search results for "α-admissible map"

showing 2 items of 2 documents

Fixed point theorems for multivalued maps via new auxiliary function

2016

We introduce a contractive condition involving new auxiliary function and prove a fixed point theorem for closed multivalued maps on complete metric spaces. An example and an application to integral equation are given in support of our findings.

Applied Mathematics010102 general mathematicslcsh:QA299.6-433Fixed-point theoremlcsh:AnalysisFixed pointAuxiliary function01 natural sciencesAlgebraSettore MAT/05 - Analisi MatematicaCalculusα-admissible mapsMetric spaceα-admissible map0101 mathematicsAnalysisMathematicsNonlinear Analysis: Modelling and Control
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On modified α-ϕ-fuzzy contractive mappings and an application to integral equations

2016

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.

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 equationsbusinessAnalysisJournal of Inequalities and Applications
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