Universal Journal of Mathematics and Mathematical Sciences
Volume 5, Issue 2, Pages 133 - 147
(April 2014)
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A f-CONTRACTION PRINCIPLE IN PARTIAL METRIC SPACES WITH SELF-DISTANCE TERMS
T. Abdeljawad and Y. Zaidan
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Abstract: We prove a generalized contraction principle with control function in complete partial metric spaces. The contractive type condition used allows the appearance of self-distance terms. The obtained result generalizes some previously obtained results such as the very recent Ilić et al. [15]. An example is given to illustrate the generalization and its properness. Our presented example does not verify the contractive type conditions of the main results proved recently by Romaguera in [17] and by Altun et al. in [8]. Therefore, our results have an advantage over the previously obtained. |
Keywords and phrases: partial metric space, Banach contraction principle, fixed point. |
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