Results 31 to 40 of about 627,202 (87)

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

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

Fixed points and stationary points of dissipative multivalued maps

, 1980
Fixed or stationary points of multivalued maps are seen to exist in the presence of various entropy functions for the map. Generalizations of the Banach-Picard and Caristi fixed point theorems are presented.
Jean-Pierre Aubin, Jerrold Siegel
core   +1 more source

Iterative Approximation of Fixed Point of Multivalued ρ-Quasi-Nonexpansive Mappings in Modular Function Spaces with Applications [PDF]

, 2018
Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued ...
Sheila Amina Bishop, Godwin Amechi Okeke, Safeer Hussain Khan   +2 more
core   +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

Variational Inequality Problem Involving Multivalued Nonexpansive Mapping in CAT(0) Spaces

, 2022
In this paper, we introduce a new type of variational inequality problem (VIP) involving nonself multivalued mappings in CAT(0) spaces. We show that this VIP problem admit a solution under suitable conditions.
Gursoy, Faik, Uddin, Izhar, Hacioglu, Emirhan, Karakaya, Vatan, Milovanovic, Gradimir, V, Milovanovic, Gradimir   +5 more
core   +1 more source

ExaWind: Open‐source CFD for hybrid‐RANS/LES geometry‐resolved wind turbine simulations in atmospheric flows

Wind Energy, Volume 27, Issue 3, Page 225-257, March 2024.
Abstract Predictive high‐fidelity modeling of wind turbines with computational fluid dynamics, wherein turbine geometry is resolved in an atmospheric boundary layer, is important to understanding complex flow accounting for design strategies and operational phenomena such as blade erosion, pitch‐control, stall/vortex‐induced vibrations, and aftermarket
Ashesh Sharma, Michael J. Brazell, Ganesh Vijayakumar, Shreyas Ananthan, Lawrence Cheung, Nathaniel deVelder, Marc T. Henry de Frahan, Neil Matula, Paul Mullowney, Jon Rood, Philip Sakievich, Ann Almgren, Paul S. Crozier, Michael Sprague   +13 more
wiley   +1 more source

Complementarity problems for multivalued monotone operator in Banach spaces

, 2004
We utilize S. Park's maximal element theorem in this paper to prove the existence theorems of solutions of the complementarity problems for multivalued monotone operator in Banach ...
Guo, Weiping
core   +1 more source

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