Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory

A previous paper (2011), Pitea and Postolache, considered the problem of minimization of vectors of curvilinear functionals (well known as mechanical work), thought as multitime multiobjective variational problem, subject to PDE and/or PDI constraints. They have chosen the suitable framework offered by the second-order jet bundle, and initiated an optimization theory for this class of problems by introducing necessary conditions. As natural continuation of these results, the present work introduces a dual program theory, the general setting, and the theory which is new as a whole, containing our results

A unifying approach for some nonexpansiveness conditions on modular vector spaces

This paper provides a new, symmetric, nonexpansiveness condition to extend the classical Suzuki mappings. The newly introduced property is proved to be equivalent to condition (E) on Banach spaces, while it leads to an entirely new class of mappings when going to modular vector spaces; anyhow, it still provides an extension for the modular version of condition (C). In connection with the newly defined nonexpansiveness, some necessary and sufficient conditions for the existence of fixed points are stated and proved. They are based on Mann and Ishikawa iteration procedures, convenient uniform convexities and properly selected minimizing sequences

Existence and approximation results for SKC mappings in CAT(0) spaces

Recently, Karap?nar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karap?nar and Tas into the class of CAT(0) spaces. Further, by using Ishikawa-type iteration scheme for two mappings, we derive approximation fixed point sequence. Our results extend, improve and unify some existing results in this direction, such as (Nonlinear Anal. Hybrid Syst. 4:25-31, 2010) by Nanjaras et al. or (Comput. Math. Appl. 61:109-116, 2011) by Khan and Abbas.Scopu

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces. Finally, we apply our fixed point theorem to prove the existence theorem for Volterra-type integral inclusion. We also provide an example to show that our fixed point theorem is a proper generalization of a recent fixed point theorem by Cosentino et al

Selected Biometric Characteristics of Wild Boar (Sus Scrofa Ferus) in North-East Romania

Our study analyzed selected biometric characteristics from 117 wild boars (Sus scrofa ferus) harvested during 2008 - 2014 in the Frasin and Marginea Forest hunting ground districts of Suceava County. Hunted boars were measured individually for head-body length (cm), height at withers (cm), length of metatarsus (cm), ear length (cm), tail length (cm) and body weight (kg) in accordance with their age-class and gender. These characteristics give information on the growth and development of wild boars and on the quality of their habitat. It was found that the average carcass weight was: piglets - 28.4 kg, yearling - 78.1 kg, subadults - 102.9 kg. The results show a faster body growth in females during their first year, while males make up for the weight difference in their 2nd and 3rd year. Statistical differences shown that males differentiate significantly to females by weight, body length, height at withers and length of metatarsus (P < 0.05) starting with their second year of life. The results regarding growth dynamic go along with the changes in boar’s social life, when the males are forced to leave and form smaller groups

The Stretching Effect on the Anisotropy of Poly (Vinyl) Alcohol (PVA) Foils

The polymer foils, obtained from pure and coloured (with cycloimmonium ylids) poly (vinyl

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

Abstract In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results