Results 21 to 30 of about 627,202 (87)

Weakly Picard pairs of some multivalued operators [PDF]

, 2003
The purpose of this paper is to present a partial answer to the following problem: Let (X,d) be a metric space and $T_1,T_2:X\to P(X)$ two multivalued operators. Determine the metric conditions which imply that (T_1,T_2) is a weakly Picard pair of
Sîntărian, A.
core   +1 more source

Approximate Fixed‐Point Results for Partial α,μ,ψ,h,F‐Generalized Hardy and Rogers Convex Contraction Mappings of Type 2 in b‐Metric Spaces With Applications

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This paper aims to prove approximate fixed‐point and fixed‐point results for new classes of generalized Hardy and Rogers convex contraction mappings of type 2. To develop our main results, we apply an auxiliary function, which may not be continuous, and integrate the concepts of Hardy and Rogers convex contraction mappings with the upclass of Type I ...
Semira H. Alemu, Kidane K. Tola, Christopher Goodrich   +2 more
wiley   +1 more source

Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which
Priya Goel, Dimple Singh, Ramandeep Behl, Cristina Amorós, Qamar Din   +4 more
wiley   +1 more source

Computational Analysis of Common Fixed Points in b‐Metric Spaces With Applications to Well‐Posedness and Projectile Motion

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article establishes common fixed‐point results for a pair of self‐mappings governed by a new Suzuki‐type contraction in the setting of complete b‐metric spaces. The proposed framework generalizes several existing contraction principles in the literature by relaxing the traditional triangle inequality and incorporating a Suzuki‐type restriction on ...
Manju Devi, Surjeet Singh Chauhan(Gonder), Rahul Shukla, Jaume Giné   +3 more
wiley   +1 more source

On the Traits of Solutions of Multipoint and Multistrip Fractional Boundary Value Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article is concerned with a new class of multipoint and multistrip type nonlocal boundary value problems for nonlinear Caputo fractional differential equations. By employing the tools of the fixed point theory, the existence and uniqueness criteria for solutions of the given problem are presented.
Bashir Ahmad, Naif Almuylibi, Ahmed Alsaedi, Peiguang Wang   +3 more
wiley   +1 more source

Sharp Best Proximity Point Results for Multivalued Operators in Extended Rectangular b‐Metric Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel extension of generalized distance, which we call the θ‐extended rectangular b‐generalized pseudo‐distance. This new concept generalizes and unifies several known notions of distance by incorporating a parameter θ, along with the framework of rectangular b‐metric spaces and pseudo‐distances.
Cholatis Suanoom, Natthaphon Artsawang, Nawab Hussain   +2 more
wiley   +1 more source

Polynomial Fuzzy Contractions With Applications to SEIRV Epidemic Models

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this study, a new family of polynomial‐type fuzzy contractions defined on metric spaces is introduced. Under filtered assumptions, it is demonstrated that such non‐crisp set‐valued operators possess some fixed points. Because of the higher‐order terms polynomial nature of the contractions, a few important corollaries, some of which drop to existing ...
Maha Noorwali, Mohammed Shehu Shagari, Bilal Bilalov   +2 more
wiley   +1 more source

Multivalued Pseudo-Picard Operators and Fixed Point Results

, 2020
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M.
Özlem Acar, Ishak Altun, Gülhan Mjnak
core  

Threshold Metric Spaces for Deep Metric Learning

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Deep metric learning thresholds a learned distance to decide when two inputs match, and the resulting relation is nontransitive: A may match B and B match C, whereas A and C are rejected. No classical metric‐type space can represent this, since in each the zero‐distance relation is forced to be transitive.
Umar Ishtiaq, Tayyab Kamran, Ioan-Lucian Popa, Gopi Prasad   +3 more
wiley   +1 more source

Nonlinear Fractional Integrodifferential Equations via Fixed Point Theory in α, β‐Extended Partial b‐Metric Spaces

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Generalized metric spaces provide a useful framework for studying fixed point problems in nonlinear equations when the standard metric structure is too restrictive. The two‐control formulation studied here allows pair‐dependent coefficients together with nonzero self‐distances.
Rahim Shah, Mahnoor Amjad, Hajra Imtiaz Abbasi, Edrisa Jawo, Rashid Jan, Bilel Selmi   +5 more
wiley   +1 more source