2016•Journal of Advanced Studies in TopologyOpen access

Results on generalized weak partial metric space

Mohamed Barakat, Ahmed M. Zidan

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Abstract

In this work, we introduce a new concept of generalized weak partial metric space (Gw p-metric space) which is a unification between generalized partial metric space (Gp-metric)and weak partial metric spaces. Also,wedemonstratesomefixedpointtheorems in a complete Gw p-metric space. An illustrative example is offered to uphold our results.

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What this paper is about

In this work, we introduce a new concept of generalized weak partial metric space (Gw p-metric space) which is a unification between generalized partial metric space (Gp-metric)and weak partial metric spaces. Also,wedemonstratesomefixedpointtheorems in a complete Gw p-metric space. An illustrative example is offered to uphold our results.

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Available abstract

In this work, we introduce a new concept of generalized weak partial metric space (Gw p-metric space) which is a unification between generalized partial metric space (Gp-metric)and weak partial metric spaces. Also,wedemonstratesomefixedpointtheorems in a complete Gw p-metric space. An illustrative example is offered to uphold our results.

Key concepts: Mathematics, Injective metric space, Metric (unit), Metric space, Intrinsic metric, Convex metric space, Metric differential, Space (punctuation)

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