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

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

Abstract

Abstract:

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.

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].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

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