Generalized common fixed point theorems in complex valued metric spaces and applications

By Wutiphol Sintunavarat, Poom Kumam. Journal of Inequalities and Applications, 2012

191 citations recorded by the source corpus.

Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condition of contraction of the results of Azam et al. and also apply the main result to the unique common solution of system of Urysohn integral equation. Mathematics Subject Classification (2000): 47H09; 47H10.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3d6bafa9917cee733c1f4272ba989a51fb15462a

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In Geometry and Topology

Citations in the corpus

Various generalizations of metric spaces and fixed point theorems (2015, background): “After that, some authors considered fixed point theorems on a complex valued metric space, for example see [123,136,137] and some others.”
Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications (2013, background): “Recently, Sintunavarat andKumam [11] obtained commonfixed point results by replacing constant of contractive condition with control functions.”
Common fixed point theorems under rational contractions in complex valued metric spaces (2015, background): “One can refer related results in [6] [7].”
Coupled best proximity point theorem in metric Spaces (2012, background): “This principle has been generalized in many ways over the years [2-15].”
Coupled Best Proximity Point Theorem in Metric Spaces (2013, background): “This principle has been generalized in many ways over the years [2-15].”