A Discussion on a Pata Type Contraction Via Iterate at a Point

Fulga, AndreeaRakocevic, VladimirKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-02-092025-09-182024-02-092025-09-182020Karapınar, Erdal; Fulga, Andreea; Rakočević, V. (2020). "A discussion on a pata type contraction via iterate at a point", Filomat, Vol.34, No.4, pp.1061-1066.0354-5180https://doi.org/10.2298/FIL2004061Khttps://hdl.handle.net/20.500.12416/13350Rakocevic, Vladimir/0000-0002-4182-4458In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.eninfo:eu-repo/semantics/openAccessPata Type ContractionIterate At A PointMetric SpaceA Discussion on a Pata Type Contraction Via Iterate at a PointA discussion on a pata type contraction via iterate at a pointArticle10.2298/FIL2004061K2-s2.0-85097876741