Results 41 to 50 of about 197 (103)

Reich Graph Contraction in Graphically Extended b‐Metric Spaces With Applications to Cantilever Beam Equation

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass, Naveen Mani, Rahul Shukla, Arpan Hazra   +3 more
wiley   +1 more source

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

Fixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj  

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

Convergence analysis of M-iteration for 𝒢-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems

Demonstratio Mathematica, 2023
In this article, weak and strong convergence theorems of the M-iteration method for 𝒢-nonexpansive mapping in a uniformly convex Banach space with a directed graph were established.
Chairatsiripong Chonjaroen, Yambangwai Damrongsak, Thianwan Tanakit   +2 more
doaj   +1 more source

Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg, Temel Ermis, Özcan Gelisgen, Mujahid Abbas, Seppo Hassi   +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

Fixed Point Results for Nonlinear F‐Contractions in Composed S‐Metric Spaces

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce the concept of composed S‐metric space as a new generalization of S‐metric space and Sb‐metric space. We present some examples showing that a composed S‐metric space is a generalization of various types of abstract spaces, and results showing the relation with the Sp‐metric space introduced earlier. We also prove fixed‐point
Chol Jin Kil, Jong-Chol Choe, Un-Ryong Rim, Samuel Nicolay   +3 more
wiley   +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

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