Results 31 to 40 of about 65 (53)

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

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

An Extended Almost Weak Contraction in Relational Metric Space and Applications to Nonlinear Matrix Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali, Esmail Alshaban, Adel Alatawi, Bassam Z. Albalawi, Fahad M. Alamrani, Faizan Ahmad Khan, Smritijit Sen   +6 more
wiley   +1 more source

The Theory of Reich's Fixed Point Theorem for Multivalued Operators

Fixed Point Theory and Applications, 2010
The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Moţ Ghiocel, Szentesi Silviu, Petruşel Gabriela, Lazăr Tania   +3 more
doaj  

Ordered Bipolar Metric Spaces and Fixed‐Point Results With an Application to Solution of Fractional Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The aim of this paper is to introduce the concept of an ordered bipolar metric space in which we establish some fixed‐point theorems for contravariant mappings under a generalized nonlinear rational‐type contractive condition. Moreover, we analyze the monotonicity of the second iteration of the mapping, which is inherently covariant.
Deepika Adhikari, Naveen Chandra, Mohammad Sajid, Smritijit Sen   +3 more
wiley   +1 more source

A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel, Ravikumar Bandaru, Amal S. Alali, Erhan Güler   +3 more
wiley   +1 more source

Analysis of a Radiotherapy Model for Brain Tumors

Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.
ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva   +3 more
wiley   +1 more source

Fixed point theory for multivalued φ-contractions

Fixed Point Theory and Applications, 2011
The purpose of this paper is to present a fixed point theory for multivalued φ-contractions using the following concepts: fixed points, strict fixed points, periodic points, strict periodic points, multivalued Picard and weakly Picard operators ...
Lazăr Vasile
doaj  

Study of Nonlinear Second‐Order Differential Inclusion Driven by a Φ−Laplacian Operator Using the Lower and Upper Solutions Method

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we study a second‐order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Xiaolong Qin   +3 more
wiley   +1 more source

Weakly Picard pairs of some multivalued operators

Mathematical Communications, 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 multivalued operators and T_1, T_2 are weakly Picard multivalued operators.
openaire   +3 more sources