•Journal•ISSN: 1687-1812
Fixed Point Theory and Applications
Springer Nature
About: Fixed Point Theory and Applications is an academic journal. The journal publishes majorly in the area(s): Fixed point & Fixed-point theorem. It has an ISSN identifier of 1687-1812. It is also open access. Over the lifetime, 1903 publications have been published receiving 31376 citations.
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TL;DR: In this article, a new concept of contraction was introduced and a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature was proved.
Abstract: In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, additionally there is delivered numerical data which illustrates the provided example. MSC: 47H10; 54E50
661 citations
TL;DR: In this paper, a generalisation of the Banach contraction mapping principle is introduced, and the result extends two existing generalisations of the same principle, and they support their result by an example.
Abstract: Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
373 citations
TL;DR: The existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space as mentioned in this paper, where is the usual metric spaces which defined from the complete -metric space.
Abstract: 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 .
342 citations
TL;DR: In this article, the uniqueness of fixed point results for mappings satisfying various contractive conditions on complete -metric spaces is proved. And the uniqueness and continuity of such mappings are shown to be -continuous.
Abstract: 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.
283 citations
TL;DR: In this article, the authors extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for has a fixed point, to partial metric spaces.
Abstract: We extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for has a fixed point, to partial metric spaces.
243 citations