RESEARCHES REGARDING FIGHTING AGAINST EROSION ON NEW FOUNDED CULTIVATED GRASS LANDS IN THE NORTH WEST OF ROMANIA

One of the first order problems which interest through its importance the whole billowy surface of the country is the preventing and fighting against soil erosion. Although there were made antierozional works on significant surfaces, their rhythm is inferior the development rhythm of the soil erosion and even these works didn’t always reach their aim. The experiments made revealed the decidedly part of the vegetal cover in fighting against soil erosion , part amplified also by the high productions of fodder gained in the case of using the biological material on different slope lands. The antierozional measures with biological character must have at their origin a study and detailed researches of the vegetation, for establishing the species and the herb mixtures corresponding to the conditions from the respective region

RESEARCHES REGARDING FIGHTING AGAINST EROSION ON NEW FOUNDED CULTIVATED GRASS LANDS IN THE NORTH WEST OF ROMANIA

One of the first order problems which interest through its importance the whole billowy surface of the country is the preventing and fighting against soil erosion. Although there were made antierozional works on significant surfaces, their rhythm is inferior the development rhythm of the soil erosion and even these works didn’t always reach their aim. The experiments made revealed the decidedly part of the vegetal cover in fighting against soil erosion , part amplified also by the high productions of fodder gained in the case of using the biological material on different slope lands. The antierozional measures with biological character must have at their origin a study and detailed researches of the vegetation, for establishing the species and the herb mixtures corresponding to the conditions from the respective region

Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.http://link.springer.com/journal/11784am2016Mathematics and Applied Mathematic

Fixed point results for generalized cyclic contraction mappings in partial metric spaces

Rus (Approx. Convexity 3:171–178, 2005) introduced the concept of cyclic contraction mapping. P˘acurar and Rus (Nonlinear Anal. 72:1181–1187, 2010) proved some fixed point results for cyclic φ-contraction mappings on a metric space. Karapinar (Appl. Math. Lett. 24:822–825, 2011) obtained a unique fixed point of cyclic weak φ- contraction mappings and studied well-posedness problem for such mappings. On the other hand, Matthews (Ann. New York Acad. Sci. 728:183–197, 1994) introduced the concept of a partial metric as a part of the study of denotational semantics of dataflow networks. He gave a modified version of the Banach contraction principle, more suitable in this context. In this paper, we initiate the study of fixed points of generalized cyclic contraction in the framework of partial metric spaces. We also present some examples to validate our results.S. 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