An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations

In this paper, we extend Darbo’s fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations

On New Extensions of Darbo's Fixed Point Theorem with Applications

Isik, Huseyin/0000-0001-7558-4088; Parvaneh, Vahid/0000-0002-3820-3351; banaei, shahram/0000-0003-0552-1836; Park, Choonkil/0000-0001-6329-8228WOS:000525824300099In this paper, we extend Darbo's fixed point theorem via weak JS-contractions in a Banach space. Our results generalize and extend several well-known comparable results in the literature. The technique of measure of non-compactness is the main tool in carrying out our proof. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results

Anxiety and Depression in Diabetics, Southern Iran

Anxiety and depression are more common among diabetic patients than general population and can impact on treatment. The aim of this study is to screen a random selection of diabetic patients attending the diabetes clinic of Shahid Mohammadi hospital, Iran for anxiety and depression. 100 patients were surveyed using a valid and reliable measure for anxiety and depression. Data analyzed using SPSS 13 software. Prevalence of depression and anxiety was 50 and 67 percent respectively. Both depression and anxiety was more common among female patients, those with type 2 diabetes and those had at least one complication of diabetes. We report a very high prevalence of anxiety and depression in these patients. Routine assessment and treatment for anxiety and depression is indicated. Further research on the reason for the high incidence of depression in this patient group is warranted