Results 41 to 50 of about 4,283,472 (107)

Generalized Enriched Contractions of Boyd–Wong and Geraghty Type in Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper examines generalized enriched contractions of the Boyd–Wong and Geraghty types within Banach spaces, expanding the classical concept of enriched operators. We establish the existence and uniqueness of fixed points for these contractions and analyze the convergence of Mann‐type iterative schemes specifically designed for these mappings.
Rekha Panicker, Rahul Shukla, Xian-Ming Gu   +2 more
wiley   +1 more source

Partial h−F‐Generalized and Subgeneralized Chatterjea Convex Contractions in b‐Metric Spaces and Some Approximate Fixed‐Point Results via Admissible Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we present new approximate fixed‐point and fixed‐point results for partial h−F‐generalized and h−F‐subgeneralized Chatterjea two‐sided convex contraction mappings in the setting of b‐metric spaces. To establish our main results, we employ admissible mappings and integrate the concept of upclass of Type I functions with partial Chatterjea
Semira Hussien Alemu, Kidane Koyas Tola, Smritijit Sen   +2 more
wiley   +1 more source

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

Fixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi, Samet Bessem, Ćirić Ljubomir   +2 more
doaj  

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani, Aruhi Somal, Sunil Beniwal, Rahul Shukla, Kartik Ariyur   +4 more
wiley   +1 more source

Fixed point theory in admissible acyclic dominated spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper we present Lefschetz type fixed point theorems for maps defined on admissible acyclic dominated spaces.
O’Regan Donal
doaj   +1 more source

A Fixed Point in Partial Sb-Metric Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce an interesting extention of the partial b-metric spaces called partial Sb-metric spaces, and we show the existence of fixed point for a self mapping defined on such spaces.
Souayah Nizar
doaj   +1 more source

The Solution of Nonlinear Matrix Equations Using Suzuki Multivalued Fixed Point Theorems in Rectangular M‐Metric Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational (ψ, ϕ)‐type multivalued contractions in complete rectangular M‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions.
Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Hamed Alsulami, Abdul Rauf Khan   +4 more
wiley   +1 more source

Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
doaj   +1 more source

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan, Ravikumar Kasinathan, Ramkumar Kasinathan, Karthikeyan Shanmugasundaram, Dimplekumar Chalishajar, Theodore Simos   +5 more
wiley   +1 more source

Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces.
Alolaiyan Hanan, Ali Basit, Abbas Mujahid   +2 more
doaj   +1 more source