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An investigation of the spatial fluctuations and their manifestations in thevicinity of the quantum critical point within the framework of the renormalized$\phi^{4}$ theory is proposed. Relevant features are reported through theGinzburg-Landau-Wilson (GLW)-based calculations, combined with an efficient nonperturbative technique. Both the dimension and size, but also microscopicdetails of the system, leading to critical behavior, and strongly deviatingfrom the classical mean-field approach far from the thermodynamic limit, aretaken into account. Further, the important role that harmonic and anharmonicfluctuations and finite-size effects can play in the determination of thecharacteristic properties of corresponding various systems, involving phasetransitions and critical phenomena, is then discussed in detail with emphasison the qualitative validity of the analysis

Finite-size and Fluctuation Effects on Phase Transition and Critical  Phenomena using Mean-Field Approach Based on Renormalized $\phi^{4}$ Model:  I. Theory