Lineare 2-normierte Räume†

We prove some fixed point results for mapping satisfying sufficient conditions on complete -metric space, also we showed that if the -metric space is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space , where is the usual metric space which defined from the -metric space .

/pdf/some-fixed-point-theorem-for-mapping-on-complete-g-metric-iosz0peq3i.pdf

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

We prove some fixed point results for mappings satisfying various contractive conditions on Complete -metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are -continuous on such fixed points.

/pdf/fixed-point-theorems-for-contractive-mappings-in-complete-5a9ydg4qoa.pdf

Fixed Point Theorems for Contractive Mappings in Complete -Metric Spaces

We introduce complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying contractive type conditions.

Siegfried Gähler

Papers

2-metrische Räume und ihre topologische Struktur†‡‡

Lineare 2-normierte Räume†

Untersuchungen über verallgemeinerte m‐metrische Räume. II

Über 2‐BANACH‐Räume

Über die Uniformisierbarkeit 2-metrischer Räume