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Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

2014

Abstract We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an α - ψ -type contractive mapping and then for a generalized β -type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.

Pure mathematicsApplied MathematicsMathematical analysisFixed-point theoremFixed pointType (model theory)Menger PM-spaceVolterra integral equationVolterra integral equationIntegral equationContinuous t-normComputational Mathematicssymbols.namesakeSettore MAT/05 - Analisi MatematicasymbolsMathematics
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