Results 41 to 50 of about 4,283,483 (109)

New Fixed Point Principles Based on Decreasing Auxiliary Functions and Their Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a novel contractive framework, referred to as the G‐contraction, which is formulated via a decreasing function G : (0, ∞)⟶(0, ∞) satisfying a collection of axioms distinct from those associated with F‐contractions and θ‐contractions.
Rabeb Sidaoui, Hayel N. Saleh, Amel Touati, Khaled Aldwoah, Smritijit Sen   +4 more
wiley   +1 more source

Fixed Point Theorems in 2- Metric Space with Continuous Convex Structure [PDF]

, 2016
In the present paper fixed point theorems are proved for  2- metric spaces with continous convex structure for more generalized conditions. AMS Mathematics Subject Classification (1991): 47H10, 54H25 Key words and phrases: convex metric space, fixed ...
Modi, Geeta, Jama, Rizwana, Gargav, Nidhi   +2 more
core   +1 more source

A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.
Petre Ioan-Radu
doaj   +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

Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces [PDF]

, 2023
In this article, we establish the existence and uniqueness of fixed points for rational type contraction mappings in a metric space that is equipped with a partial order.
Mishra, Lakshmi N., Mishra, Vishnu N., Rathour, Laxmi, Raji, Muhammed   +3 more
core   +1 more source

Interpolative contractions on perturbed metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new ...
Karapınar Erdal, Păcurar Cristina Maria, Shahi Priya   +2 more
doaj   +1 more source

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

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu, Fei He, Shu-fang Li, Xinyan Zhang, Samuel Nicolay   +4 more
wiley   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

Journal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad, Mohammed Shehu Shagari, Maha Noorwali, Abba Ali Tijjani, Afis Saliu, Pramita Mishra   +5 more
wiley   +1 more source

DELTA-CONVERGENCE FOR ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(K) SPACE THROUGH MODIFIED S- ITERATION PROCEDURE [PDF]

, 2016
In this paper we establish convergence theorem for asymptotically non expansive mapping in CAT () space and will approximate fixed point through modified S-iteration procedure. Keywords: Fixed point ,Asymptotically nonexpansive  mapping, -convergence,CAT
Rajput, Anil, Tenguria, Abha, Pandey, Sanchita   +2 more
core   +1 more source