Grinding occupies a place in the machining arena as the final finishing process, which tends to exist in all machining environments. The grinding process gen erates forces that have to be countered by the robustness of the machine tool and a methodology to compute the forces that might be generated by it for deciding the type of tool and depth of cut to be used for a given variety of workpiece. Prior computation of the forces being the primary concern can be a handful of help to the industrial personnel and managements to decide on the variety of machine tool and accessories to be bought for the kind of grinding to be done. Comparison of the proposed model with the available literature shows good agreement.

The aim of this paper is to prove, mainly, a common fixed point theorem for six self mappings and its consequences under the condition of weakly compatible mappings in a Quasi-Gauge space.

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Saurabh Manro et. al [4] proved fixed point results for four self mappings of a fuzzy metric space using an inequality, CLR-property / JCLR-property, weakly compatibility of two pairs of the self mappings. In this paper, we mainly extended the above for six self mappings by using commutativity of certain pairs of mappings. Supporting examples are given to our claims. 2010 Mathematics Subject Classifications -47H10, 54H25.