6533b82bfe1ef96bd128d637

RESEARCH PRODUCT

Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

Calogero VetroMohammad ImdadSunny ChauhanWutiphol Sintunavarat

subject

Pure mathematicsApplied MathematicsMathematical analysisProbabilistic logicExtension (predicate logic)Type (model theory)Common fixed pointIntegral equationCoincidenceComputational MathematicsMetric spaceMenger's theoremSettore MAT/05 - Analisi MatematicaMenger spacetangential propertyCoincidence pointVolterra type integral equation.Mathematics

description

Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.

yearjournalcountryeditionlanguage
2014-07-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2014.04.079