Some new fixed point theorems on partial metric spaces

Hu, T.; Zheng, Dingwei; Zhou, Jingren

doi:10.12988/ijma.2018.8538

Cited by 3 publications

(8 citation statements)

References 8 publications

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“…Recently, Zheng et al [14] introduced the so-called θ-φ contraction in complete metric spaces and this technique was successfully applied to Kannan type mapping in partial metric spaces (see [6]). The results of the present paper will be applied in future investigations by the authors regarding θ-φ contraction in complete partial b-metric spaces.…”

Section: Going Furthermentioning

confidence: 99%

Fixed points on partial metric type spaces

Gaba¹

2019

Results in Fixed Point Theory and Applications

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In this paper, we give and prove two Chatterjea type fixed point theorems on partial b-metric space. We propose an extension to the Banach contaction principle on partial b-metric space which was already presented by Shukla and also study some related results on the completion of a partial metric type space. In particular, we prove a joint Chatterjea-Kannan fixed point theorem. We verify the T -stability of Picard's iteration and conjecture the P property for such maps. We also give examples to illustrate our results.is a basis for a topology τ (p) on X. The topology τ (p) is T 0 .

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Section: Going Furthermentioning

confidence: 99%

Fixed points on partial metric type spaces

Gaba¹

2019

Results in Fixed Point Theory and Applications

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“…Paper ini akan mempelajari beberapa teorema titik tetap pada pemetaan kontraksi − di ruang metrik parsial yang telah dikenalkan oleh Tao dkk [5], selanjutnya membandingkan teorema tersebut dengan beberapa teorema yang telah di kenalkan sebelumnya oleh Ishak dkk [2]. Teorema-teorema tersebut merupakan pengembangan dari teorema titik tetap yang telah dibahas oleh Matthews [4].…”

Section: Pendahuluanunclassified

“…Teorema-teorema tersebut merupakan pengembangan dari teorema titik tetap yang telah dibahas oleh Matthews [4]. Definisi 1.1 [5]: (Ruang metrik parsial). Diberikan himpunan tak kosong .…”

Section: Pendahuluanunclassified

“…Setiap ruang metrik parsial ( , ) menghasilkan suatu 0 topologi pada dengan basisnya adalah keluarga semua bola terbuka-. Definisi 1.2 [5]: Diberikan ruang metrik parsial ( , )…”

Section: Pendahuluanunclassified

“…Lemma-lemma yang diberikan akan digunakan dalam memebuktikan teorema-teorema pada pembahasan selanjutnya. Lemma 1.3 [5]: Diberikan ruang metrik parsial ( , ) 1. Barisan { } merupakan barisan Cauchy di ruang metrik parsial ( , ) jika dan hanya jika { } barisan Cauchy di ruang metrik( , ).…”

Section: Pendahuluanunclassified

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Ketunggalan Titik Tetap Pada Pemetaan Kontraksi θ-ϕ di Ruang Metrik Parsial

Malahayati

2019

JFOURIER

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Paper ini mempelajari kontraksi θ-ϕ dan kontraksi tipe Kannan θ-ϕ serta beberapa teorema ketunggalan titik tetap pada ruang metrik parsial. Selanjutnya membandingkan Teorema serupa yang telah dikemukakan oleh peneliti sebelumnya dan membahas contoh sebagai ilustrasi dari teorema yang dibahas. [In this paper, we study the notions of θ-ϕ contraction and θ-ϕ Kannan Type contraction, and some fixed point theorem on partial metric spaces. The results presented in the paper study and consederation some previously results, we also give an example to illustrate our results.]

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Fixed and coincidence point theorems on partial metric spaces with an application

Kumar,

Garakoti,

Chandra

et al. 2023

Mathematica Moravica

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The aim of this paper is to investigate some fixed and co-incidence point theorems in complete, orbitally complete and (T, f)-orbitally complete partial metric spaces under the generalized contractive type conditions of mappings. Moreover, our results generalize and extend the several obtained results in the literature. Additionally some non-trivial examples are demonstrated, and an application has discussed to integral equations.

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Some new fixed point theorems on partial metric spaces

Cited by 3 publications

References 8 publications

Fixed points on partial metric type spaces

Fixed points on partial metric type spaces

Ketunggalan Titik Tetap Pada Pemetaan Kontraksi θ-ϕ di Ruang Metrik Parsial

Fixed and coincidence point theorems on partial metric spaces with an application

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