125,949 research outputs found

    Comments on the paper "COINCIDENCE THEOREMS FOR SOME MULTIVALUED MAPPINGS" by B. E. RHOADES, S. L. SINGH AND CHITRA KULSHRESTHA

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    The 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

    Letters exchanged in June 1977 between Lorenzo A. Richards and James D. Rhoades

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    Letters exchanged in June 1977 between Lorenzo A. Richards and James D. Rhoades of the Journal of the Soil Science Society of America: (1) Letter dated 4 June 1977 from Lorenzo A. Richards and James D. Rhoades, declining to review the article; (2) Letter dated 3 June 1977 from James D. Rhoades to Lorenzo A. Richards, requesting that he review an enclosed manuscript submitted for publication in the Journal of the Soil Science Society of AmericaUNITED STATES DEPARTMENT OF AGRICULTURE AGRICULTURAL RESEARCH SERVICE TC. eoi-,™. U.S. SALINITY LABORATORY TELEPHONE: PLEASE REPLY TO: 714-S83-0170 4500 GLENWOOD DRIVE PO B O X 6 72 RIVERSIDE, CALIFORNIA 92501 RIVERSIDE, CA 92502 June 3, 1977 Dr. L. A. Richards 4455 Fifth Street Riverside, Ca. Dear Dr. Richards: The enclosed manuscript, "A Two-Element Ceramic Sensor for Moisture and Salinity- Measurements in Coal Spoils," by David G0 Scholl, has been submitted for possible publication in the Journal of Soil Science Society of America. I would appreciate your review of this manuscript using the format explained in the enclosed forms. In particular, please note that your recommendation regarding disposition of the manuscript should be kept separate from the review comments. For your information, I have enclosed copies of the Society\u27s publication policy and guide for reviewers. If you cannot complete the review within the next three weeks, please return the manuscript to me. Sincerely, James D. Rhoades Assoc. Ed., Division II Soil Sci0 Soc. Amer. Journal Enclosures JDRre

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Extensions of fixed point theorems of Rhoades and Ćirić

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    In 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

    T-Stability Approach to Variational Iteration Method for Solving Integral Equations

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    We 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

    A proof of the fermionic theta coinvariant conjecture

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    Let (x1, ... , xn, y1, ... , yn) be a list of 2n commuting variables, (theta 1, ... , theta n, xi 1, ... , xi n) be a list of 2n anticommuting variables, and C[xn, yn] circle times perpendicular to{On, 4n} be the algebra generated by these variables. D'Adderio, Iraci, and Vanden Wyngaerd introduced the Theta operators on the ring of symmetric functions and used them to conjecture a formula for the quadruply -graded en-isomorphism type of C[xn,yn] circle times perpendicular to{On, 4n}/I where I is the ideal generated by en-invariants with vanishing constant term. We prove their conjecture in the 'purely fermionic setting' obtained by setting the commuting variables xi, yi equal to zero.(c) 2023 Elsevier B.V. All rights reserved

    On |A|<sub><i>k</i></sub>summability factors of infinite series

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    In 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)

    <inline-formula> <graphic file="1687-1812-2009-393245-i1.gif"/></inline-formula>-Stability Approach to Variational Iteration Method for Solving Integral Equations

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    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

    A remark on Rhoades fixed point theorem for non-self mappings

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    Let X be a Banach space, K a non-empty closed subset of X and T:K→X a mapping satisfying the contractive definition (1.1) below and the condition T(∂K)⫅K. Then T has a unique fixed point in K. This result improves Theorem of Rhoades [1] and generalizes the corresponding theorem of Assad [2]
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