A general fixed point theorem for mappings satisfying an implicit relation in complete Gp - metric spaces

  • Valeriu Popa ”Vasile Alecsandri” University of Bacau
  • Alina Mihaela Patriciu “Dunarea de Jos“ University of Galati
DOI: https://doi.org/10.35219/ann-ugal-math-phys-mec.2018.2.04
Keywords: fixed point, Gp - metric space, well posedness of fixed point problem, implicit relation

Abstract

The purpose of this paper is to prove a general fixed point theorem in complete Gp - metric spaces for mappings satisfying a new type of implicit relation. If Gp - metric is symmetric, we prove that the fixed point problem is well posed.

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Author Biography

Alina Mihaela Patriciu, “Dunarea de Jos“ University of Galati

Faculty of Sciences, Department of Mathematics and Computer Sciences, ”Dunarea de Jos” University of Galati, Romania

Published
2018-11-21
How to Cite
Popa, V. and Patriciu, A. (2018) “A general fixed point theorem for mappings satisfying an implicit relation in complete Gp - metric spaces”, Analele Universității ”Dunărea de Jos” din Galați. Fascicula II, Matematică, fizică, mecanică teoretică / Annals of the ”Dunarea de Jos” University of Galati. Fascicle II, Mathematics, Physics, Theoretical Mechanics, 41(2), pp. 139-146. doi: https://doi.org/10.35219/ann-ugal-math-phys-mec.2018.2.04.
Issue
Vol 41 No 2 (2018)
Section
Articles