Fixed point theorems for contraction mappings in modular metric spaces

By Chirasak Mongkolkeha, Wutiphol Sintunavarat, Poom Kumam. 2011

106 citations recorded by the source corpus.

In this article, we study and prove the new existence theorems of fixed points for contraction mappings in modular metric spaces.AMS: 47H09; 47H10.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/694b03e847200dddfabab8ca76e35ebe625305c7

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In Geometry and Topology

1. Poom Kumam
2. Wutiphol Sintunavarat
3. Yeol Je Cho
4. E. Karapınar
5. Animesh Gupta
6. Inci M. Erhan
7. Jong Kyu Kim
8. Hassen Aydi

Citations in the corpus

• Coupled best proximity point theorem in metric Spaces (2012, background): “This principle has been generalized in many ways over the years [2-15].”
• Generalized common fixed point theorems in complex valued metric spaces and applications (2012, background): “Later, a number of articles in this field have been dedicated to the improvement and generalization of the Banach’s contraction mapping principle in several ways in many spaces (see [2-17]).”
• Coupled Best Proximity Point Theorem in Metric Spaces (2013, background): “There are many researchers generalized this contraction principle in different directions, refer to [2],[9],[10],[24],[33],[34],[40].”