In this paper we obtain a unique common fixed point theorem, for four self maps using generalized altering distance function in four variables, which generalizes and improves the main theorem of [2, Theorem 1].
A method is presented for ®xtureless assembly of simple sheet metal parts (i.e. consisting of at patterns and simple bends) used in the aircraft industry. Current industry practice relies on manually intensive procedures and rigid ®xtures for part assembly. The present method relies on carefully toleranced alignment holes that are computer numerical control (CNC) machined into the parts at fastener locations. Parts are temporarily fastened at these alignment holes for their proper alignment together into the assembly, and then permanently fastened at all rivet and bolt locations. A simple procedure is used to characterize empirically the CNC hole drilling process in sheet metal for this method. A simple experiment, involving the assembly of four parts with rivets, successfully demonstrates the potential of ®xtureless assembly.
In this paper we obtain a unique common fixed point theorem for three mappings in G-cone metric spaces and obtain an extension and improvement of a theorem of I. Beg et. al. [ 1 ].
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