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Article
Publication date: 5 January 2021

Sushanta Kumar Mohanta

In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a…

Abstract

Purpose

In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying some generalized contraction- type conditions involving a control function in partial metric spaces. Moreover, we provide some examples to analyze and illustrate our main results.

Design/methodology/approach

Theoretical method.

Findings

We establish some coincidence points and common fixed point results in partial metric spaces.

Originality/value

Results of this study are new and interesting.

Details

Arab Journal of Mathematical Sciences, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1319-5166

Keywords

Content available
Article
Publication date: 22 May 2019

Adrian Magdaş

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators…

Abstract

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.

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Article
Publication date: 1 September 2003

Alain Bossavit

The v×B term in eddy current equations for conducting fluids is an instance of contraction of a differential form by a vector field. We search for a natural way to…

Abstract

The v×B term in eddy current equations for conducting fluids is an instance of contraction of a differential form by a vector field. We search for a natural way to discretize such contractions. Looking at the operation of extrusion of a manifold, which is dual to contraction, provides the main clue. Two example applications, Carpenter's gauge and Eulerian computations in MHD problems, are suggested.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 22 no. 3
Type: Research Article
ISSN: 0332-1649

Keywords

Content available
Article
Publication date: 9 February 2021

Godwin Amechi Okeke and Daniel Francis

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The…

Abstract

Purpose

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend generalize compliment and include several known results as special cases.

Design/methodology/approach

The results of this paper are theoretical and analytical in nature.

Findings

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. apply the results in solving nonlinear Volterra-Fredholm-type integral equations. The results extend, generalize, compliment and include several known results as special cases.

Research limitations/implications

The results are theoretical and analytical.

Practical implications

The results were applied to solving nonlinear integral equations.

Social implications

The results has several social applications.

Originality/value

The results of this paper are new.

Details

Arab Journal of Mathematical Sciences, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1319-5166

Keywords

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Article
Publication date: 10 July 2009

S. Kurz, B. Auchmann and B. Flemisch

The purpose of this paper is to present a geometric approach to the problem of dimensional reduction. To derive (3 + 1) D formulations of 4D field problems in the…

Abstract

Purpose

The purpose of this paper is to present a geometric approach to the problem of dimensional reduction. To derive (3 + 1) D formulations of 4D field problems in the relativistic theory of electromagnetism, as well as 2D formulations of 3D field problems with continuous symmetries.

Design/methodology/approach

The framework of differential‐form calculus on manifolds is used. The formalism can thus be applied in arbitrary dimension, and with Minkowskian or Euclidean metrics alike.

Findings

The splitting of operators leads to dimensionally reduced versions of Maxwell's equations and constitutive laws. In the metric‐incompatible case, the decomposition of the Hodge operator yields additional terms that can be treated like a magnetization and polarization of empty space. With this concept, the authors are able to solve Schiff's paradox without use of coordinates.

Practical implications

The present formalism can be used to generate concise formulations of complex field problems. The differential‐form formulation can be readily translated into the language of discrete fields and operators, and is thus amenable to numerical field calculation.

Originality/value

The approach is an evolution of recent work, striving for a generalization of different approaches, and deliberately avoiding a mix of paradigms.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 28 no. 4
Type: Research Article
ISSN: 0332-1649

Keywords

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Abstract

Details

Social Sciences: A Dying Fire
Type: Book
ISBN: 978-1-80117-041-3

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Book part
Publication date: 15 December 2004

Kamol Chumrusphonlert, John P. Formby and John A. Bishop

Dominance techniques are used to analyze and rank inequality, welfare, and poverty across regions in Thailand in the 1990s. Inference-based dominance methods are applied…

Abstract

Dominance techniques are used to analyze and rank inequality, welfare, and poverty across regions in Thailand in the 1990s. Inference-based dominance methods are applied to consumption expenditure microdata from the Household Socio-Economic Surveys (SES) of 1992, 1994, 1996, 1998 and 2000. Attention is focused on the period immediately before and after the economic contraction of 1996–1997. Lorenz dominance is employed to assess inequality, while first-order Engel food share dominance is applied to rank welfare across time and among regions. Poverty is evaluated by comparing truncated food-share quantile functions. The evidence reveals that the economic crisis in 1997 seems to affect inequality in Bangkok (the richest region) more than the Northeast (the poorest region), and most dramatic changes occur in the North and South. Welfare in Bangkok is unambiguously higher than in other regions before and after economic contraction. In fact, the great economic contraction changes the rankings of economic well-being and poverty only in the North, South, and Northeast.

Details

Studies on Economic Well-Being: Essays in the Honor of John P. Formby
Type: Book
ISBN: 978-0-76231-136-1

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Article
Publication date: 2 September 2014

Gregory N. Price and Juliet U. Elu

The purpose of this paper is to consider whether regional currency integration in sub-Saharan Africa ameliorates global macroeconomic shocks by considering the impact of…

Abstract

Purpose

The purpose of this paper is to consider whether regional currency integration in sub-Saharan Africa ameliorates global macroeconomic shocks by considering the impact of the 2008-2009 global financial crisis on economic growth. This suggests that Central Africa Franc Zone (CFAZ) eurocurrency union membership amplifies the effects of global business cycles in sub-Saharan Africa.

Design/methodology/approach

The authors estimate the parameters of a quantity theory model of economic growth within a Generalized Estimating Equation (GEE) Framework.

Findings

Parameter estimates from GEE specifications reveal that the contraction in credit during the financial crisis of 2008-2009 had larger adverse growth effects on sub-Saharan African countries who were members of the CFAZ eurocurrency union. The authors also find that sub-Saharan African countries who were members of the CFAZ eurocurrency union were more likely to experience a contraction in credit.

Originality/value

As far as the authors can discern, no existing empirical growth models use a GEE framework to estimate parameters of interest. The GEE parameter estimates are distribution-free, robust with respect to unknown forms of heteroskedasticity, and control for a wide variety of error structures that can induce bias in panel data parameter estimates.

Details

Journal of Economic Studies, vol. 41 no. 5
Type: Research Article
ISSN: 0144-3585

Keywords

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Book part
Publication date: 17 January 2009

N.K. Kwak and Chang Won Lee

A dual transportation analysis is considered as a strategic matter for plant facility expansion/contraction decision making in manufacturing operations. The primal-dual…

Abstract

A dual transportation analysis is considered as a strategic matter for plant facility expansion/contraction decision making in manufacturing operations. The primal-dual problem is presented in a generalized mathematical form. A practical technique of generating the dual solution is illustrated with a plant facility expansion/contraction example as a tutorial. Demand forecasting is performed based on the time series data with seasonal variation adjustments. The dual solution helps facilitate operations decision making by providing useful information.

Details

Advances in Business and Management Forecasting
Type: Book
ISBN: 978-1-84855-548-8

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Article
Publication date: 12 October 2015

Kwangmin Park and SooCheong (Shawn) Jang

The purpose of this paper is to provide an understanding of the effects of advertising based on economic cycles. To comprehend advertising effects in the restaurant…

Abstract

Purpose

The purpose of this paper is to provide an understanding of the effects of advertising based on economic cycles. To comprehend advertising effects in the restaurant industry from an economic cycle perspective, this study investigated both short- and long-run advertising effects under periods of economic contraction and expansion and compared those effects between the two economic periods.

Design/methodology/approach

The data were collected from the COMPUSTAT database for the restaurant industry (SIC 5,812) from 1979 to 2010. To estimate the economic cycles, the 2005 year-based real gross domestic product (GDP) was used from the Bureau of Economic Analysis. Also, all variables were depreciated by the value of the US dollar in 2005. For estimation, a single equation error correction model was used to examine the short-term and long-term effects of advertising.

Findings

The results of this study indicated that both the short- and long-term effects of advertising on sales growth were more obvious in contraction periods than in expansion periods. However, the short-run effects of advertising on brand equity did not significantly differ between expansion and contraction periods. Further, the long-term effects of advertising on brand equity were greater in expansion periods than in contraction periods. The findings suggest that restaurant firms should not reduce their advertising budgets during periods of economic contraction to take advantage of superior sales growth outcomes during these periods.

Practical implications

The results of this study provide restaurant managers with useful practical implications. During economic contraction periods, restaurant managers should not reduce advertising budgets to take an ascendant position in terms of sales growth. Though the net positive effect at year t + 1 of contraction periods was smaller than that of expansion periods for sales growth, this is temporal and the long-run positive effect on sales growth spreads into future periods. Thus, a counter-cyclical advertising strategy could compensate for reduced sales from weak customer demands during economic contraction periods.

Originality/value

There have been many empirical studies on the advertising effect in the literature. However, this study examined whether the effects of advertising differ between economic expansion and contraction periods. This specificity is helpful for industrial practitioners as well as academic researchers.

Details

International Journal of Contemporary Hospitality Management, vol. 27 no. 7
Type: Research Article
ISSN: 0959-6119

Keywords

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