Results 61 to 70 of about 410 (157)

Positive coincidence points for a class of nonlinear operators and their applications to matrix equations

Open Mathematics, 2020
Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed, Berzig Maher, Ajmi Ahdi Noomen   +2 more
doaj   +1 more source

Extensions of Well‐Known Fixed‐Point Theorems to Quasi M‐Metric Spaces With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Fixed‐point theory has become a frequently studied topic due to its various applications in both metric spaces and generalized metric spaces. The fact that each study leads to new research also increases the importance of studying this theory. Under this perspective, the concept of quasi M‐metric spaces, which is an example of a generalized metric ...
Nihal Taş, Ahmed Aloqaily, Fatima S. Sadaga, Nabil Mlaiki, Ömer Kişi   +4 more
wiley   +1 more source

Alternative principles and their applications

Kakutani map, Fixed point, Matching theorem, Analytic alternative, Minimax inequality, 54H25, 54C60, 49J35, 52A07,
Mircea Balaj
core   +1 more source

Equivalence Class Characterizations of Near Fixed Points and Interval Ellipses in Coupled Metric and G‐Metric Spaces With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we suggest a rigorous equivalence class description of interval ellipses and near fixed points in coupled metric and G‐metric spaces with applications. In both metric and G‐metric frameworks, we prove that the equivalence classes formed by the division of near fixed points naturally reflect their convergence to underlying fixed points ...
G. Sudhaamsh Mohan Reddy, Mohammad Sajid, Ali Allahem, Smritijit Sen   +3 more
wiley   +1 more source

Fixed‐Point Theorems for Max‐Type Rational Contractions in Quasi‐b‐Metric Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we introduce a new class of contractive mappings, termed max‐type rational contractions, and analyze their behavior in comparison with the standard contractions widely used in fixed‐point theory. Through illustrative examples, we highlight the distinctions and advantages of the proposed contraction framework.
Savita Rathee, Nisha Balhara, Anil Kumar, Minakshi, Anshuka Kadyan, Smritijit Sen   +5 more
wiley   +1 more source

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

Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

Open Mathematics, 2019
In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak ...
George Reny, Nabwey Hossam A., Vujaković Jelena, Rajagopalan R., Vinayagam Selva   +4 more
doaj   +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, Yang, Z.F., Talman, A.J.J.   +3 more
core  

On Hammerstein Integral Equations and Engineering Models via Paired Contractions in Partial Metric Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a novel class of paired contractions to establish fixed point results for multivalued mappings within the framework of partial metric spaces. Requirements for the existence of fixed points are investigated, and a few nontrivial instances are given to illustrate the usefulness and relevance of the proposed notions.
Rhoda Chiroma, Mohammed Shehu Shagari, Monairah Alansari, Trad Alotaibi, Afis Saliu, Smritijit Sen   +5 more
wiley   +1 more source

Some Coupled Fixed Point Theorems in G-Metric Spaces Using Compatibility of Maps

, 2015
In this manuscript we prove some common coupled fixed point theorems using the compatibility of maps in G-metric spaces. 2010 Mathematics Subject Classification.
Raj, Hans, Hooda, Nawneet
core   +1 more source