Let X, d be a complete metric space, and let T be a self-map of X. If T has a unique fixed point, which can be obtained as the limit of the sequence {pn}, where pn Tp0, p0 any point of X, then T is called a Picard operator see, e.g., 1 , and the iteration defined by {pn} is called Picard iteration. One of the most general contractive conditions for which a map T is a Picard operator is that of ...

Global warming is a result of the greenhouse effect caused by gases released into atmosphere; It usually expressed as an increase in measured average temperatures. In addition to this, extreme weather events such droughts, floods, and severe hurricanes become more frequent, specified severe. The effects global climate change on hydrological meteorological variables are increasing day day. There...

We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with lim n→∞ α n = 0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.

The purpose of this paper is to prove that the modified Mann iteration process can be applied to approximate the common fixed point of three strictly hemicontractive mappings in smooth Banach spaces.

Jim Mann tells Fiona Fleck what happened when WHO applied a rigorous new method of scientific evaluation to its guideline recommending that we keep our intake of "free sugars" in food and drink to less than 10% of dietary intake.

De Paoli-Iseppi, R., Johansson, P., Menzies, A., Dias, K., Pupo, G., Kakavand, H., Wilmott, J., Mann, G., Hayward, N., Dinger, M., Long, G., Scolyer, R. (2016). Comparison of whole-exome sequencing of matched fresh and formalin fixed paraffin embedded melanoma tumours: implications for clinical decision making. Pathology, 48(3), 261-266. ...