Results 41 to 50 of about 287 (164)

Existence and Approximate Solutions for Nonlinear Systems of Tripled‐Variable Fractional Singular Volterra Integral Equations Under Measure of Noncompactness

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work introduces an innovative analytical framework for studying finite systems of nonlinear tripled‐variable fractional singular Volterra integral equations in the Banach space. The investigation combines the technique of measures of noncompactness with fixed point theorem to establish new solvability criteria for highly nonlinear finite ...
Hasanen A. Hammad, Maryam G. Alshehri, Ramesh Kandala   +2 more
wiley   +1 more source

Best proximity problems for Ćirić type multivalued operators satisfying a cyclic condition [PDF]

, 2017
The aim of this paper is to present some best proximity results for multivalued cyclic operators satisfying a Ćirić type condition. Our results extend to the multivalued case some recent results in the literature. Mathematics Subject Classification (2010)
MAGDAȘ, Adrian
core   +1 more source

Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Open Mathematics, 2022
In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj   +1 more source

A Study on Fixed‐Point Theory and Topological Structures Involving ϖb‐Distance on θ‐Complete Metric‐Type Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a family of topologies τp on metric‐type spaces (MTSs) using powers of the ϖb‐distance. Moreover, we investigate fundamental topological properties, including convergence, closed sets, Cauchy sequences, and Hausdorffness, showing how varying p > 0 affects these properties.
Ahad Hamoud Alotaibi, Huda Al-Malki, Smritijit Sen   +2 more
wiley   +1 more source

Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar, Poonam Yadav, Mohammad Sajid, Ji Gao   +3 more
wiley   +1 more source

Signal recovery and polynomiographic visualization of modified Noor iteration of operators with property (E)

Demonstratio Mathematica
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces

Demonstratio Mathematica, 2023
In this article, we introduce and study some strong convergence theorems for a mixed-type SP-iteration for three asymptotically nonexpansive self-mappings and three asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

Reflexivity of Hilbert K(H)‐Modules and Fixed‐Point Property for Nonexpansive Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We prove that a Hilbert C∗‐module over the C∗‐algebra K(H) of all compact operators on a complex infinite dimensional Hilbert space H is reflexive as a Banach space if and only if its orthogonal dimension is finite. In particular, a Hilbert K(H)‐module has the fixed‐point property (FPP) for nonexpansive mappings if and only if it is reflexive as a ...
Kourosh Nourouzi, Smritijit Sen
wiley   +1 more source

Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

Demonstratio Mathematica
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
doaj   +1 more source

Investigating the modified UO-iteration process in Banach spaces by a digraph

Open Mathematics
Graph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen.
Yolacan Esra
doaj   +1 more source