Common fixed point theorems for three maps in discontinuous Gb metric spaces |
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| Authors: | Jamal Rezaei ROSHAN Nabiollah SHOBKOLAEI Shaban SEDGHI Vahid PARVANEH Stojan RADENOVIĆ |
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| Institution: | 1. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;2. Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran;3. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran;4. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;5. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia |
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| Abstract: | In Aghajani A, Abbas M, Roshan JR. Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces. Filomat, 2013, in press], using the concepts of G-metric and b-metric Aghajani et al. defined a new type of metric which is called generalized b-metric or Gb-metric. In this paper, we prove a common fixed point theorem for three mappings in Gb-metric space which is not continuous. An example is presented to verify the effectiveness and applicability of our main result. |
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| Keywords: | common fixed point b-metric space G-metric space |
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