The purpose of this paper is to prove a common fixed point theorem on fuzzy metric space using the notion of semi compatibility, our result generalize the result of Som [8]. Also, we are giving an example that make strong to our result. ) {Tx n }→x, {Sx n }→x then {STx n }→ Tx as n→∞ hold. However (b) implies (a) taking {x n }→y and x = Ty = Sy. So, here we define semi compatibility by condition (b) only. In this paper we used the concept of semi compatible mappings to prove further resuts.
Aim of present study is to identify the effects of radiation and heat generation in unsteady MHD mixed convective flow of nanofluids along a upstanding channel through porous medium. Four types of nanofluids were studied (i) Water based – Ag (ii) Water based – Al2O3. Water is taken as convectional base fluid and Ag and Al2O3 particles are incorporated in this base fluid. Keeping in mind the congregating and random motion of nanoparticles, “Koo and Kleinstreuer model” is used. The main characteristics of the nanofluids have finer thermo physical properties such as high thermal conductivity, minimal bloking in flow passage, long term solidity and uniformity. The governing boundary layer equations are formulated and reduced to a set of ordinary differential equations using perturbation technique. Solutions are obtained for motion and temperature, discussed and pertinent results are shown through graphs.
Fixed point theorems in a fuzzy metric space are proved by considering a contractive condition for a triplet of mappings and this is the totally a new approach for obtaining the fixed point .
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