Search results for "Common property"
showing 10 items of 11 documents
Competitive versus efficient extraction of a common property resource: The groundwater case
2001
Abstract In this paper socially optimal and private extraction of a common property aquifer are compared. Open-loop equilibrium and feedback equilibrium in linear strategies have been computed to characterize private extraction. The use of these two equilibrium concepts allows us to distinguish between cost and strategic externalities as long as the open-loop solution captures only the cost externality, and the feedback solution captures both. The results show that strategic behaviour increases the overexploitation of the aquifer compared to the open-loop solution. However, if the groundwater storage capacity is large, the difference between the socially optimal and private extraction, the …
On coincidence and common fixed point theorems of eight self-maps satisfying an FM-contraction condition
2019
In this paper, a new type of contraction for several self-mappings of a metric space, called FM-contraction, is introduced. This extends the one presented for a single map by Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012:94, 2012]. Coincidence and common fixed point of eight self mappings satisfying FM-contraction conditions are established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps. Coincidence and common fixed point of eight self-maps satisfying FM-contraction conditions via the common property (E.A.) are also studied. Our results generaliz…
Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces
2011
We observe that the notion of common property (E.A.) relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, a multitude of recent fixed point theorems of the existing literature are sharpened and enriched.
Sir Thomas More's Utopia : An overlooked economic classic
2019
Sir Thomas More's Utopia, published in 1516, is a classic work of how to organise a society based on common property. With a unique mix of common property, institutions and sound economic insights, we argue that More built a framework for a society that could be viable in the long run. While the conditions that make Utopia work are quite restrictive, it does provide a sketch of a society where common property may not stifle long‐term development, but is associated with productive workers and people content with their lives.
Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation
2013
We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.
Le cooperative di comunità quali potenziale strumento per ripensare e valorizzare gli usi civici nelle aree rurali. Uno spunto di riflessione
2020
Regolate da frammentate normative regionali, le cooperative di comunità si caratterizzano per inserirsi pienamente nel quadro delineato agli artt. 2511 c.c. ss. e per la tendenziale coincidenza tra i soci di queste ultime e la popolazione insistente in un’area geograficamente limitata. La presenza di gruppi organizzati di individui che svolgono attività di valorizzazione dei territori può rivelarsi potenzialmente capace di stimolare l’attività economica locale e perseguire lo sviluppo comunitario e il benessere collettivo, in un’ottica di relazione sinergica tra interessi pubblici e privati. L’importanza di una dimensione intergenerazionale, tipica dello sviluppo sostenibile e particola…
Common fixed point theorems for mappings satisfying common property (E.A.) in symmetric spaces
2011
In this paper, common fixed point theorems for mappings satisfying a generalized contractive condition are obtained in symmetric spaces by using the notion of common property (E.A.). In the process, a host of previously known results are improved and generalized. We also derive results on common fixed point in probabilistic symmetric spaces.
Sir Thomas More's Utopia : An overlooked economic classic
2019
Sir Thomas More's Utopia, published in 1516, is a classic work of how to organise a society based on common property. With a unique mix of common property, institutions and sound economic insights, we argue that More built a framework for a society that could be viable in the long run. While the conditions that make Utopia work are quite restrictive, it does provide a sketch of a society where common property may not stifle long‐term development, but is associated with productive workers and people content with their lives. peerReviewed
Some integral type fixed point theorems in Non-Archimedean Menger PM-Spaces with common property (E.A) and application of functional equations in dyn…
2013
In this paper, we prove some integral type common fixed point theorems for weakly compatible mappings in Non-Archimedean Menger PM-spaces employing common property (E.A). Some examples are furnished which demonstrate the validity of our results. We extend our main result to four finite families of self-mappings employing the notion of pairwise commuting. Moreover, we give an application which supports the usability of our main theorem.
Three Letters from Sophus Lie to Felix Klein on Mathematics in Paris
2018
Sophus Lie and Felix Klein first met in 1869 as students in Berlin. They soon became daily companions and spent the spring of 1870 together in Paris where they met the French mathematicians Michel Chasles, Gaston Darboux, and Camille Jordan. Jordan had just published his classic Traite des substitutions, and the two foreigners read it avidly. Mathematics has not been the same since, for it has often been said – and not altogether unjustly – that from this moment on they made group theory their common property: Lie taking the continuous groups and Klein those that were discontinuous. It should not be overlooked, on the other hand, that this observation was first made by Klein himself in the …