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In this paper, we obtain a converse duality theorem for higher order Wolfe type multiobjective programming with cone constraints under appropriate assumptions. This fills some gaps in the work of Kim et al. [Kim, D.S., Kang, H.S., Lee, Y.J., Seo, Y.Y., Higher order duality in multiobjective programming with cone constraints, Optimization, 59(1), 29–43, (2010)].

Byline: Shivani. Saini, Shail. Agarwal, Chinmai. Yadav, Sahil. Sharma Sir, Verrucous epidermal nevus is a well-known benign, non-inflammatory epidermal nevus with the onset usually at birth or within the first [...]

This work is motivated by the importance of vertical vibration in nanofluids suspension, because of its wide applications in heat exchangers from one fluid to another, controlling the mixing in microvolumes, pharmaceutical industry, and engineering. The current study analyzes the effects of high-frequency vertical vibration on a horizontal Casson nanofluid layer heated from below saturated between rigid-rigid, rigid-free, and free-free boundary conditions. Field equations are derived by using time-average method, which describes the vibrational thermo-convection. These field equations are solved by utilizing linear stability analysis and Galerkin technique to obtain the thermal stability curve. By using this curve, the impacts of vertical vibration and physical governing factors on temperature profile are discussed. High-frequency vertical vibration is observed to have a stabilizing effect on Casson nanofluid suspension, thereby reducing thermo-convective heat transfer from one fluid to another. Stability threshold of vibrated suspension is increased approximately as 5. 7 4 8 % and 8 1. 9 3 7 % when R v → 5 0 and R v → 1 0 0 , respectively. The significance of Brownian motion and thermophoretic force on convective heat transfer with vertical vibration is discussed. The resisting nature of Casson nanofluid on vibrational convective heat transfer is also tabulated. [ABSTRACT FROM AUTHOR]

Byline: Shivani. Saini, Akshay. Jain, Shail. Agarwal, Devendra. Yadav Background: As generalized pruritus can be a symptom of a systemic disease, iron deficiency may be the underlying internal cause of [...]

Byline: Ramesh. Kumar, Shivani. Saini Sir, Acquired Brachial Cutaneous Dyschromatosis (ABCD) is a pigmentary disorder predominantly found in menopausal age group women, characterized by asymptomatic well-demarcated surrounding skin with irregular [...]

Byline: Atul. Vijay, Akshy. Kumar, Shivani. Saini, Shail. Agarwal Sir, Ichthyosis bullosa of Siemens (IBS), type of bullous ichthyosis, is distinguished from more severe and deeper bullous congenital ichthyosiform erythroderma [...]

Background: Noncultured epidermal cell suspension (NCES) and Jodhpur technique (JT) are two treatment options in vitiligo, in which the basic principle is the transfer of melanocytes from uninvolved skin to stable vitiligo patch in the form of either tissue graft or cellular graft. Objectives: The aim of this study was to evaluate effectiveness of two different treatment methods (NCES and JT) in stable vitiligo. Materials and Methods: This was a randomized comparative study, which included 45 patients with 153 stable vitiligo patches. Cases were randomly divided into two groups. Appropriate statistical analysis was done. A value of P < 0.05 was considered statistically significant. Results: Of 45 cases, female-to-male ratio was 1.36:1. Mean duration of disease and stability were found to be 10.44±5.24 and 3.83±2.31 years, respectively. Mean size of treated area for NCES and JT was 10.11±10.31 and 10.13±10.29cm2, respectively. Earliest repigmentation was found at 3 weeks in NCES and 6 weeks in JT. At 6 weeks, repigmentation was better in NCES, whereas later JT showed better pigmentation. Follow-up was done at 8 days and 6, 10, 14, and 24 weeks. With respect to color match at 6 weeks, JT was found superior; however, at 24 weeks both showed similar efficacy. Mean reduction in daily life quality index was significantly decreased post-surgery. Limitations: This was a single-center, small sample size study. Conclusion: Melanocyte plus keratinocyte cell transfer is very effective in the treatment of stable vitiligo. On the basis of the results, JT may show significant contribution in vitiligo. [ABSTRACT FROM AUTHOR]

Dear Editor, Lichenoid pseudovesicular papular eruption of the nose (LiPEN) is a distinct entity that affects young-middle-aged people and sometimes is photo aggravated. [Table 1] The patient was advised to use sunscreen all over the face and tacrolimus 0.03% ointment on the LiPEN lesions.{Figure 1}{Figure 2}{Figure 3}{Figure 4}{Figure 5}{Table 1} LiPEN is a diagnosis of exclusion, as papular lesions may present in many other dermatoses. [Extracted from the article]

Robust bi-level programming problems are a newborn branch of optimization theory. In this study, we have considered a bi-level model with constraint-wise uncertainty at the upper-level, and the lower-level problem is fully convex. We use the optimal value reformulation to transform the given bi-level problem into a single-level mathematical problem and the concept of robust counterpart optimization to deal with uncertainty in the upper-level problem. Necessary optimality conditions are beneficial because any local minimum must satisfy these conditions. As a result, one can only look for local (or global) minima among points that hold the necessary optimality conditions. Here we have introduced an extended non-smooth robust constraint qualification (RCQ) and developed the KKT type necessary optimality conditions in terms of convexifactors and subdifferentials for the considered uncertain two-level problem. Further, we establish as an application the robust bi-level Mond-Weir dual (MWD) for the considered problem and produce the duality results. Moreover, an example is proposed to show the applicability of necessary optimality conditions. [ABSTRACT FROM AUTHOR]