THE BEST PROXIMITY POINT THEOREM FOR GENERALIZED (χ,φ)- WEAK CONTRACTIONS IN BRANCIARI TYPE GENERALIZED METRIC SPACES

Abstract

The Theorem of "Best Proximity Point for generalized (χ,φ)-weak contractions in Branciari type generalized metric spaces" is thoroughly examined in this thesis. The concept of contraction mappings is generalized by the (χ,φ)-weak contraction. By defining the situations in which a mapping has a "unique best proximity point", this thesis applies the Theorem of "Best Proximity Point" to this context. Examples are provided to illustrate the results and show how the theorem might be applied in different situations