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COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS Gb-METRIC SPACES
Authors:Jamal Rezaei ROSHAN  abiollah SHOBKOLAEI  Shaban SEDGHI  Vahid PARVANEH  Stojan RADENOVI′C
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, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
4. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
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.
Keywords:common fixed point  b-metric space  G-metric space
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