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.

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

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