In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support the analytic proofs. Stability of AK iteration process and data dependence result for contraction...

Department of Environmental Sciences, University of Virginia, Charlottesville, VA, USA, School of Geography and Environmental Science, Monash University, Clayton, Vic., Australia, International Institute of Tropical Forestry, USDA Forest Service, Rio Pedras, PR, Department of Biology, Middlebury College, Middlebury, VT, Institute of Arctic Biology, University of Alaska-Fairbanks, Fairbanks, AK,...

BACKGROUND Actinic keratoses (AK) are pre-malignant cutaneous lesions caused by prolonged exposure to ultraviolet radiation. As AKs lesions are generally accepted to be the initial lesions in a disease continuum that progresses to squamous cell carcinoma (SCC), AK lesions have to be treated. They are also the second most common reason for visits to the dermatologist. Several treatments are avai...

We have produced a series of in vitro serologically selected cell lines that express mutant I-Ak molecules. In this report we describe the DNA sequence analysis of the Ak beta gene of four cell lines that express serologically altered Ak beta polypeptides in association with wild-type Ak alpha polypeptides. Each of the major serologic epitopes on the Ak beta polypeptide has been altered in one ...

Vladimir Voevodsky was born in 1966. He studied at Moscow State University and Harvard university. He is now Professor at the Institute for Advanced Study in Princeton. Among his main achievements are the following: he defined and developed motivic cohomology and the A-homotopy theory of algebraic varieties; he proved the Milnor conjectures on the K-theory of fields. Let us state the first Miln...

BACKGROUND Current parameters for assessing the efficacy of actinic keratosis (AK) treatments compare clinical lesions at the start and end of a study. However, the sun-exposed field also contains subclinical lesions which may become detectable during treatment. Lmax, the maximum lesion count during treatment, is a new concept to better assess the efficacy of field-directed AK therapies. Measur...

OBJECTIVES To identify and compare the gene expression profiles of actinic keratosis (AK) and squamous cell carcinoma (SCC) and to further clarify critical genetic alterations in the evolution of SCC from normal sun-damaged human skin. DESIGN Observational study. SETTING University practice. PATIENTS Skin biopsy specimens were obtained from 16 patients. The specimens included 14 normal no...

Amphizoic amoebae generate a serious human health threat due to their pathogenic potential as facultative parasites, causative agents of vision-threatening Acanthamoeba keratitis (AK). Recently, AK incidences have been reported with increasing frequency worldwide, particularly in contact lens wearers. In our study, severe cases of AK in Poland and respective pathogenic isolates were assessed at...

in this paper, we first define spaces of single difference sequences defined by a sequence of orlicz functions without convexity and investigate their properties. then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.