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Generalizing the concept of commuting mappings, Sessa [10] was introduced the concept of weakly commuting mappings. He has defined that f and g to be weakly commuting, if d(fgx, gfx) ≤ d(gx, fx) for all x X, where f and g are two self -maps of (X,d).Dr. Varsha Sharma...
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(x,y)=fx(x,y),Q(x,y)=fy(x,y)andcurl(F)=Qx−Py=fyx−fxy=0byClairot’stheorem.Green’stheorem(1827)If F(x,y)= P(x,y),Q(x,y) isavectorfieldandGisaregionforwhichtheboundaryCisacurveparametrizedsothatGis”totheleft”.Then C F· dr= Gcurl(F)dxdyGeorgeGreen(1793-1841)...