Results 51 to 60 of about 2,978 (161)

Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

open access: yes, 2014
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar   +1 more source

On the Fixed Point Results for the Suzuki‐Type Multivalued δ‐Contractions

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this study, we prove the existence of a fixed point for a Suzuki‐type δ‐contraction, which is a generalization of the δ‐contraction and weak δ‐contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki‐type δ‐contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for
Müzeyyen Sangurlu Sezen   +6 more
wiley   +1 more source

Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings

open access: yes, 2013
In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces.
Hao Liu, Shaoyuan Xu
semanticscholar   +1 more source

Some Results of Fixed Points in Complete b‐Metric‐Like Space With Application

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this contribution, we prove some results of the uniqueness of the common fixed point for quadruple mappings in a complete b‐metric‐like space. Then, two nontrivial illustrative examples are provided to highlight the reliability of our basic findings.
Hakima Bouhadjera   +4 more
wiley   +1 more source

Weak and Semi Compatible Maps in Probabilistic Metric Space Using Implicit Relation [PDF]

open access: yes, 2008
2000 Mathematics Subject Classification: 54H25, 47H10.The concept of semi compatibility is given in probabilistic metric space and it has been applied to prove the existence of unique common fixed point of four self-maps with weak compatibility ...
Dhagat, Vanita Ben, Sharma, Akshay
core  

Suzuki-type fixed point results in metric type spaces

open access: yes, 2012
Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case of metric type spaces and cone metric type spaces.
N. Hussain   +3 more
semanticscholar   +1 more source

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu   +4 more
wiley   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad   +5 more
wiley   +1 more source

Stability of common fixed points in uniform spaces

open access: yesFixed Point Theory and Applications, 2011
Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam   +2 more
doaj  

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