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RESEARCH PRODUCT

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

Dhananjay GopalMujahid AbbasCalogero Vetro

subject

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

description

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.

yearjournalcountryeditionlanguage
2014-04-01
10.1016/j.amc.2014.01.135http://hdl.handle.net/10447/94920