Fixed point results for $GP_{(\Lambda,\Theta)}$-contractive mappings

Parvaneh, Vahid¹ ; Salimi, Peyman² ; Vetro, Pasquale³ ; Nezhad, Akbar Dehghan⁴ ; Radenović, Stojan⁵

¹ Department of Mathematics, College of Science, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
² Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran
³ Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archira 34, 90123 Palermo, Italy
⁴ Department of Mathematics, Yazd University, Yazd, Iran
⁵ Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia

Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 150-159.

Résumé

In this paper, we introduce new notions of $GP$-metric space and $GP_{(\Lambda,\Theta)}$-contractive mapping and then prove some fixed point theorems for this class of mappings. Our results extend and generalized Banach contraction principle to $GP$-metric spaces. An example shows the usefulness of our results.

Détail

DOI : 10.22436/jnsa.007.03.01

Classification : 47H10, 54H25, 55M20
Keywords: \(GP\)-metric spaces, \(GP_(\Lambda, \Theta)\)-contractive mappings, \(O-GP\)-continuous.

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