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October 31, 2024
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Nonunique fixed point theorems in partial metric spaces

Publicated to: Filomat. 27 (7): 1305-1314 - 2013-01-01 27(7), DOI: 10.2298/FIL1307305K

Authors:

Karapinar, E; Romaguera, S
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Affiliations

Atilim Univ, Dept Math - Author
Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada - Author

Abstract

In this paper we prove the existence of fixed points of certain self-maps in the context of partial metric spaces. In fact, the fixed point theorems presented here can be considered as a continuation, in part, of the works of L. B. Ciric on the existence of fixed points but not uniqueness in the realm of metric spaces. Our results generalize, enrich and improve earlier results on the topic in the literature.
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Keywords

Generalized contractionsMappingsNonunique fixed pointPartial metric space

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Filomat due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2013, it was in position 124/251, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics, Applied. Notably, the journal is positioned en el Cuartil Q3 para la agencia Scopus (SJR) en la categoría Mathematics (Miscellaneous).

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 3.5. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 13, 2025)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2.12 (source consulted: FECYT Mar 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-03, the following number of citations:

  • WoS: 31
  • Scopus: 36
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-03:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 5 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Turkey.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (Romaguera, S).

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