In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of F -invariant set. We introduce the notion of fixed point of N -order as natural extension of that of coupled fixed point. As applications, we discuss and adapt the presented results to the setting of partially ordered cone metric spaces. The presented results extend and complement...

سیستم حمل‌ونقل ریلی از تعامل مجموعه‌ای تجهیزات و عملیات تشکیل‌ شده است که توانایی ظرفیت یک در بار مسافر را تعیین می‌کند. بدین‌منظور، محاسبة پیش‌بینی نحوة تغییرات آن مهم شناخت آن‌ کمک شایانی به ارتقای سطح بهره‌برداری شبکة روش‌های گوناگونی برای وجود دارد با توجه نوع شبکه شیوة استفاده این روش‌ها، می‌توان آنها بهره گرفت. ظرفیت، توانمندی‌های سیستم‌های اطلاعات مکانی می‌شود تحت وب، وضعیت ظرفیتی عملیات...

Second order cone program (SOCP) formulations of convex optimization problems are studied. We show that various SOCP formulations can be obtained depending on how auxiliary variables are introduced. An efficient SOCP formulation that increases the computational efficiency is presented by investigating the relationship between the sparsity of an SOCP formulation and the sparsity of the Schur com...

This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theor...

A computational method for predicting the output of a focused laser differential interferometer (FLDI) given an arbitrary density field is presented. The method is verified against analytical predictions and experimental data. The FLDI simulation software is applied to the problem of measuring Mack-mode wave packets in a hypervelocity boundary layer on a 5° half-angle cone. The software is show...