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In this paper, we point out that some recent results of Vijaywar et al. (Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces, Demonstratio Math. 45 (2012), 611-620) are not true in their present form. With a view to prove corrected and improved versions of such results, we introduce the notion of common limit range property for a hybrid pair of mappings and utilize the same to obtain some coincidence and fixed point results for mappings defined on an arbitrary set with values in symmetric (semi-metric) spaces. Our results improve, generalize and extend some results of the existing literature especially due to Imdad et al., Javid and Imdad, Vijaywar et al. and some others. Some illustrative examples to highlight the realized improvements are also furnished.

This work investigates the Wick‐type stochastic and extended Korteweg‐de Vries (EKdV) equation under conformable differential operators. Novel wave solutions with soliton and periodic types are produced to the deterministic EKdV under conformable differential operators. Abundant stochastic wave solutions are explored for the Wick‐type stochastic EKdV equation by using conformable differential operators and the inverse Hermite transform. The stochastic soliton and periodic solutions are denoted as functional solutions with Brownian motion environment. For the acquired solutions, comparisons and graphical representations with three‐dimensional graphs are shown for peculiar values of the existing parameters. According to the existing literature, utilization of the conformable differential operators is a novel contribution for solving the stochastic EKDV and other stochastic nonlinear problems. [ABSTRACT FROM AUTHOR]

Background: Prostatic artery embolization is one of the most recent emerging and sophisticated interventional radiology procedures. Prostatic artery embolization is a minimally invasive procedure in management of lower urinary tract symptoms due to benign prostatic hyperplasia after failure of medical management. It represents a safer choice as compared to the usual surgical procedures used in this case. Under local anesthesia via femoral artery puncture catheter navigation is performed under fluoroscopy guidance to catheterize prostatic arteries followed by embolization of the prostatic bed aiming to reduction of the prostatic size and thus reliving the lower urinary tract symptoms. The aim of this study is to evaluate efficacy of prostate artery embolization in managing benign prostatic hyperplasia presented with clinically significant lower urinary tract symptoms. In our study prostatic artery embolization was performed on 20 benign prostatic hyperplasia patients, (mean age, 65.3 years; range, 59-77 years). The mean prostatic volume measured were 95.95 ml, (range 52-180 ml). The mean scoring of LUTS were (IPSS=19.35) and (QOL =4.35), with range of (IPSS 7-31) and (QOL 3-5). Four of them complained of urinary retention and were already catheterized during procedure Results: There are statistically significant differences (P values < 0.05) between (International prostatic scoring system, quality of life, Prostate volume and post-voiding urine volume) of the same patient before and after Prostatic artery embolization. Conclusion: Prostatic artery embolization is efficient procedure in management of benign prostatic hyperplasia, significantly reducing the prostatic volume, post-voiding residual urine volume and patient's lower urinary tract symptoms. [ABSTRACT FROM AUTHOR]

The present paper investigates the convergence of some new implicit iterations of coupled fixed point for non-linear contractive like functions on W-hyperbolic metric spaces. Moreover, we provide a theoretical comparison of our new iterations to illustrate the fastest iteration the coupled fixed point. [ABSTRACT FROM AUTHOR]