Some Common Fixed‐Point Theorems for Generalized‐Contractive‐Type Mappings on Complex‐Valued Metric Spaces

Chakkrid Klin-eam and Cholatis Suanoom

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Fixed‐point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed‐point theorems for two single‐valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed‐point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex‐valued metric spaces.

Date: 2013
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https://doi.org/10.1155/2013/604215

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:604215

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