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

By C. Klin-eam, Cholatis Suanoom. 2013

51 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/94ea465c9d4eeb5687cf4fa0fd2d8243fd7be5a9