Recently, it has been obtained a lot of results on hyperconvex SPACE (see [1, 2, 3, 5]). In this paper we develop some of those results for MODULAR hyperconvex SPACEs.

In this paper, two double sequence iterations for a strongly r-contractive mapping in the MODULAR SPACE are introduced. It is proved that these sequence iterations are strongly convergent to a fixed point of a strongly r-contractive mapping. Finally, some examples are presented to show the novelty of the main result.

Optimal Manned SPACE Launch System Conceptual Design with MODULAR Design and Sensitivity Analysis Approach The purpose of this article is to optimal manned SPACE launch system conceptual design methodology with combination of MODULAR design (by using clustering the existing motors to provide the thrust force) and sensitivity analysis (by varying the affected parameters to achieve the capability) approach. This methodology is implemented according to the human departure to SPACE program and higher strategy document (country’ s aeroSPACE development comprehensive document). To this end, in the methodology is utilized both of the statistical and parametric (the SPACE launch system optimized main parameters) methodologies, is determined the optimum thrust level based on the three fundamental requirements (number of stages, number of engines in clustering and maximum axial acceleration). These fundamental requirements are affected on risk and manned SPACE launch system axial acceleration. In the paper, the purpose of sensitivity analysis is to determine of value of effective of main design parameters on SPACE launch system capabilities. The method for optimizing and design SPACE searching is utilized from Genetic Algorithm (GA). Finally, the suggested methodology and mass – energy capabilities will be verified by comparing the results of two methodology (statistical and optimal) to achieve the specific mission.

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In recent years, many authors have focused on hyperconvex SPACE and obtained a lot of valuable results (see [1, 2, 3, 5]). In this paper we develop some of those results for MODULAR hyperconvex SPACEs. As a consequence we show that Ar (Xr) Í er (Xr) Í Hr (Xr) where, Ar (Xr), er (Xr), and Hr (Xr) are MODULAR admissible subsets, MODULAR externally hyperconvex subsets and MODULAR hyperconvex subsets in Xr, respectively.