θ-metric spaces and extension of Banach and Caristi's fixed point theorem

Details θ-metric spaces and extension of Banach and Caristi's fixed point theorem θ-metric spaces and extension of Banach and Caristi's fixed point theorem

2011-09-14

arxiv.org/abs/1109.3025v1

Mathematics

Functional Analysis

Scientific paper

In this paper, using a more generalized inequality instead of triangle
inequality, the notion of \theta-metric space is introduced. Some important
properties of induced topology by such spaces are presented. Also, Banach and
Caristi type fixed point in such spaces are proved.

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