1,105 research outputs found
Comments on the paper "COINCIDENCE THEOREMS FOR SOME MULTIVALUED MAPPINGS" by B. E. RHOADES, S. L. SINGH AND CHITRA KULSHRESTHA
No full textThe aim of this note is to point out an error in the proof of Theorem 1 in the paper entitled “Coincidence theorems for some multivalued mappings” by B. E. Rhoades, S. L. Singh and Chitra Kulshrestha [Internat. J. Math. & Math. Sci., 7 (1984), 429-434], and to indicate a way to repair it
On |A|<sub><i>k</i></sub>summability factors of infinite series
No full textIn an earlier paper (Rhoades. B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002. 33(7), 1003-1009) the authors obtained necessary conditions for the series ?an to be absolutely summable of order k by a triangular matrix. In this paper we present sufficient conditions for absolute matrix summability factors. As a corollary we obtain a result of N. Singh (On |N?,pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19-24)
T-Stability Approach to Variational Iteration Method for Solving Integral Equations
No full textWe consider T-stability definition according to Y. Qing and B. E. Rhoades (2008) and we show that the variational iteration method for solving integral equations is T-stable. Finally, we present some text examples to illustrate our result
Extensions of fixed point theorems of Rhoades and Ćirić
No full textIn this paper fixed point theorems have been established for the mappings which are contractive over two consecutive elements of an orbit. The results, thus established, extend the theorems of B. E. Rhoades and Lj. B. Ćirić.</p
<inline-formula> <graphic file="1687-1812-2009-393245-i1.gif"/></inline-formula>-Stability Approach to Variational Iteration Method for Solving Integral Equations
No full text We consider -stability definition according to Y. Qing and B. E. Rhoades (2008) and we show that the variational iteration method for solving integral equations is -stable. Finally, we present some text examples to illustrate our result.</p
Breaking new ground: Linking research, participation and sustainable development
No full textMetadata only recordThis chapter describes the global mission of SANREM as developing principles and methodologies for sustainable ecosystem management at multiple scales. The author then further describes how this mission was carried out in Ecuador.Available in SANREM office, F
The Spectrum of Weighted Mean Operators
No full textAbstractRecently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on c0, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences. Subsequently the author determined the fine spectra of these operators over c. This paper examines the spectra and fine spectra of weighted mean operators on c0, obtaining the result of Reade as a special case.</jats:p
Application of the EEPAS earthquake forecasting model to Italy
No full textThe Every Earthquake a Precursor According to Scale (EEPAS) forecasting model is a space-time point-process model based on the precursory scale increase (ψ) phenomenon and associated predictive scaling relations. It has been previously applied to New Zealand, California and Japan earthquakes with target magnitude thresholds varying from about 5-7. In all previous application, computations were done using the computer code implemented in Fortran language by the model authors. In this work, we applied it to Italy using a suite of computing codes completely rewritten in Matlab. We first compared the two software codes to ensure the convergence and adequate coincidence between the estimated model parameters for a simple region capable of being analysed by both software codes. Then, using the rewritten codes, we optimized the parameters for a different and more complex polygon of analysis using the Homogenized Instrumental Seismic Catalogue data from 1990 to 2011. We then perform a pseudo-prospective forecasting experiment of Italian earthquakes from 2012 to 2021 with M-w >= 5.0 and compare the forecasting skill of EEPAS with those obtained by other time independent (Spatially Uniform Poisson, Spatially Variable Poisson and PPE: Proximity to Past Earthquakes) and time dependent [Epidemic Type Aftershock Sequence (ETAS)] forecasting models using the information gain per active cell. The preference goes to the ETAS model for short time intervals (3 months) and to the EEPAS model for longer time intervals (6 months to 10 yr)
Common fixed point for two weakly compatible pairs of self-maps through property E. A. under an implicit relation
No full textWe prove some generalizations of the results of Renu Chug-Sanjay Kumar, the author with necessary corrections, and of Rhoades et al. for weakly compatible self-maps satisfying the property E. A. under an implicit relation. Key Words: Compatible and Weakly Compatible Self-maps, Property E. A., Contractive Mmodulus, Common Fixed Poin
Necessary conditions for inclusion relations for double absolute summability
No full textWe establish necessary conditions for a general inclusion theorem involving a pair of doubly triangular matrices. As corollaries we obtain inclusion results for some special classes of doubly triangular matrices.Scientific and Technical Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) -- The second author acknowledges support from the Scientific and Technical Research Council of Turkey in the preparation of this paper. We wish to thank the referees for their careful reading of the manuscript and for helpful suggestions. -- -
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