Some Kannan type fixed point results in rectangular soft metric space and an application of fixed point for thermal science problem

Öztunç, Simge; Mutlu, Ali; Aslan, Sedat

doi:10.2298/tsci181102035o

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2019

2023

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Cited by 4 publications

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“…Nowadays, many researches make interesting studies by applying the soft set theory to almost every area. For some of those, see [23,[33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

Altıntaş¹,

Taşköprü²

2020

Turk J Math

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In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted soft cone metric spaces, they are the same. Additionally, we prove some fixed point theorems related to diametrically contractive mapping in a complete soft cone metric space.

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“…Nowadays, many researches make interesting studies by applying the soft set theory to almost every area. For some of those, see [23,[33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%