COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS Gb-METRIC SPACES

doi:10.1016/S0252-9602(14)60110-7

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1643-1654.doi: 10.1016/S0252-9602(14)60110-7

COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES

Jamal Rezaei ROSHAN, Nabiollah SHOBKOLAEI, Shaban SEDGHI, Vahid PARVANEH, Stojan RADENOVI´C

Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran； Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran； Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran； Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran； Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

收稿日期:2012-08-13 修回日期:2013-08-24 出版日期:2014-09-20 发布日期:2014-09-20

COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES

Jamal Rezaei ROSHAN, Nabiollah SHOBKOLAEI, Shaban SEDGHI, Vahid PARVANEH, Stojan RADENOVI´C

Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran； Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran； Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran； Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran； Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Received:2012-08-13 Revised:2013-08-24 Online:2014-09-20 Published:2014-09-20

摘要/Abstract

摘要：

In [Aghajani A, Abbas M, Roshan JR. Common fixed point of generalized weak contractive mappings in partially ordered G_b-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 G_b-metric. In this paper, we prove a common fixed point theorem for three mappings in G_b-metric space which is not continuous. An example is presented to verify the effectiveness and applicability of our main result.

关键词: common fixed point, b-metric space, G-metric space

Abstract:

Key words: common fixed point, b-metric space, G-metric space

Jamal Rezaei ROSHAN, Nabiollah SHOBKOLAEI, Shaban SEDGHI, Vahid PARVANEH, Stojan RADENOVI′C. COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES[J]. 数学物理学报(英文版), 2014, 34(5): 1643-1654.

Jamal Rezaei ROSHAN, Nabiollah SHOBKOLAEI, Shaban SEDGHI, Vahid PARVANEH, Stojan RADENOVI′C. COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES[J]. Acta mathematica scientia,Series B, 2014, 34(5): 1643-1654.

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COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES

COMMON FIXED POINT THEOREMS FOR THREE MAPS IN DISCONTINUOUS G_b-METRIC SPACES

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