Results 71 to 80 of about 8,017 (187)

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
doaj   +1 more source

On Enriched Suzuki Mappings in Hadamard Spaces

Mathematics
We define and study enriched Suzuki mappings in Hadamard spaces. The results obtained here are extending fundamental findings previously established in related research.
Teodor Turcanu, Mihai Postolache
doaj   +1 more source

Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces

Abstract and Applied Analysis, 2011
We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
doaj   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

On extremal nonexpansive mappings

Zeitschrift für Analysis und ihre Anwendungen
We study the extremality of nonexpansive mappings on a non-empty bounded, closed, and convex subset of a normed space (therein specific Banach spaces). We show that surjective isometries are extremal in this sense for many Banach spaces, including Banach spaces with the Radon–Nikodym property and all
Christian Bargetz, Michael Dymond, Katriin Pirk   +2 more
openaire   +3 more sources

Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar, Manoj Kumar, Pankaj Kumar, Rahul Shukla, Birendra Nath Mandal   +4 more
wiley   +1 more source

Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

Fixed Point Theory and Applications, 2010
The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Kohsaka Fumiaki, Aoyama Koji
doaj   +2 more sources

On directionally nonexpansive mappings

European Journal of Mathematics
AbstractIn 2000, W.A. Kirk introduced the concept of directionally nonexpansive mappings. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk’s theorem still holds.
openaire   +1 more source

Fixed Point Theorems on Controlled Orthogonal δ‐Metric‐Type Spaces and Applications to Fractional Integrals

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we introduce a notion of controlled orthogonal δ‐metric‐type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ‐metric‐type spaces. Finally, we illustrate two applications of the obtained fixed point results on the Atangana–Baleanu fractional integrals and ...
Benitha Wises Samuel, Gunaseelan Mani, Purushothaman Ganesh, Sabri T. M. Thabet, Imed Kedim, Samuel Nicolay   +5 more
wiley   +1 more source