In this paper, we introduce new notions of GP-metric space and $GP_(Λ,Θ)$-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.
Parvaneh, V., Salimi, P., Vetro, P., DN, A., Radenović, S. (2014). Fixed point results for $GP_(Λ,Θ)$-contractive mappings. THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS, 7(3), 150-159.
Fixed point results for $GP_(Λ,Θ)$-contractive mappings
VETRO, Pasquale;
2014-01-01
Abstract
In this paper, we introduce new notions of GP-metric space and $GP_(Λ,Θ)$-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.
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