Results 51 to 60 of about 1,527 (116)

Approximate fixed points and fixed points for multi-valued almost E-contractions

Topological Algebra and its Applications, 2021
In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces.
Hoc Nguyen Huu
doaj   +1 more source

Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally J‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems,
Shahbaz Ali, Qamrul Haque Khan, Majed Albaity, Cenap Ozel, Yuri Latushkin   +4 more
wiley   +1 more source

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

Fixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi, Samet Bessem, Ćirić Ljubomir   +2 more
doaj  

Fixed point results for contractions of polynomial type

Demonstratio Mathematica
We introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems.
Jleli Mohamed, Păcurar Cristina Maria, Samet Bessem   +2 more
doaj   +1 more source

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

Journal 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, A. Duran Türkoğlu, Serap Özcan, Sina Etemad, Azhar Hussain, Raaid Alubady, Ozgur Ege   +6 more
wiley   +1 more source

A Fixed Point Theorem for Discontinuous Functions [PDF]

AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J., Laan, G. van der, Talman, A.J.J., Yang, Z.F.   +3 more
core   +1 more source

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

Journal 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, Mohammed S. Abdo, Hadeel Z. Alzumi, Wafa Shammakh, Ozgur Ege   +4 more
wiley   +1 more source

A Discrete Multivariate Mean Value Theorem with Applications [PDF]

AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core   +1 more source

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

Journal 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, Fei He, Shu-fang Li, Xinyan Zhang, Samuel Nicolay   +4 more
wiley   +1 more source

Neutrosophic Partial Metric Spaces and Fixed Point Theorems

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, neutrosophic partial metric spaces are defined, and their basic properties and examples are obtained. Furthermore, the relations between neutrosophic partial metric spaces, classical metric spaces, fuzzy partial metric spaces, and fuzzy are analyzed.
Abdullah Kargın, Bilal Bilalov
wiley   +1 more source