Cyclic weak ϕ iterated function system

Autor: Ullah Kifayat, Katiyar S. K.

Publikováno v: Topological Algebra and its Applications, Vol 10, Iss 1, Pp 161-166 (2022)

In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attracto

Externí odkaz: https://doaj.org/article/1e8c31ddd19341b0a42719aa48331cef

Ordered weak $\varphi$-contractions in cone metric spaces over Banach algebras and fixed point theorems

Autor: Satish Shukla, S. K. Malhotra, P.K. Bhargava

Publikováno v: Advances in the Theory of Nonlinear Analysis and its Applications, Vol 3, Iss 2, Pp 102-110 (2019)
Volume: 3, Issue: 2 102-110
Advances in the Theory of Nonlinear Analysis and its Application

In this work, we introduce the class of ordered weak \varphi-contractions in cone metric spaces over Banach algebras and prove some fixed point results for the mappings belonging to this new class. Our results generalize and extend some known fixed p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cbe770cabf30fb310d7e9b24817ddcc
https://doi.org/10.31197/atnaa.518372

Existence and uniqueness of a common fixed point on partial metric spaces

Autor: Kenan Taş, Erdal Karapınar, Thabet Abdeljawad

Publikováno v: Applied Mathematics Letters. 24:1900-1904

In this work, a general form of the weak ϕ -contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S , T on a complete partial metric space X have a common fixed point if it is a generalized w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6b968f10118271fc16c18da2d08f41d
https://doi.org/10.1016/j.aml.2011.05.014

Corrigendum to 'Fixed point theory for cyclic weak ϕ-contraction' [Appl. Math. Lett. 24 (6) (2011) 822–825]

Autor: Kishin Sadarangani, Erdal Karapınar

Publikováno v: Applied Mathematics Letters. 25:1582-1584

We correct the proof of Theorem 6 in the letter “Fixed point theory for cyclic weak ϕ -contraction” [E. Karapinar, Fixed point theory for cyclic weak ϕ -contraction, Appl. Math. Lett. 24 (6) (2011) 822–825].

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcea1f099bdb9074bcfc92ab1047bdce
https://doi.org/10.1016/j.aml.2011.11.001

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