Abstract
AbstractWe prove some fixed point results for mapping satisfying sufficient conditions on complete "Equation missing"-metric space, also we showed that if the "Equation missing"-metric space "Equation missing" is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space "Equation missing", where "Equation missing" is the usual metric space which defined from the "Equation missing"-metric space "Equation missing".
Highlights
The notion of 2-metric space introduced by Gahler see 1, 2 as a generalization of usual notion of metric space X, d
In 1992, Bapure Dhage in his Ph.D. thesis introduce a new class of generalized metric space called D-metric spaces 4, 5
In 2003 in collaboration with Brailey Sims, we demonstrated in 8 that most of the claims concerning the fundamental topological structure of D-metric space are incorrect, so, we introduced more appropriate notion of generalized metric space as follows
Summary
The notion of 2-metric space introduced by Gahler see 1, 2 as a generalization of usual notion of metric space X, d.
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