Results 21 to 30 of about 5,560 (184)

Remarks on G-metric spaces and fixed point theorems

open access: yes, 2012
We discuss the introduced concept of G-metric spaces and the fixed point existing results of contractive mappings defined on such spaces. In particular, we show that the most obtained fixed point theorems on such spaces can be deduced immediately from ...
M. Jleli, B. Samet
semanticscholar   +1 more source

Fixed point and coupled fixed point theorems on b-metric-like spaces

open access: yes, 2013
We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a ...
M. Alghamdi, N. Hussain, P. Salimi
semanticscholar   +1 more source

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

open access: yesAbstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +1 more source

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

open access: yesOpen Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai   +2 more
doaj   +1 more source

Generalized common fixed point theorem for generalized hybrid mappings in Hilbert spaces

open access: yesDemonstratio Mathematica, 2022
In this article, we prove a common fixed point theorem for commutative nonlinear mappings that jointly satisfy a certain condition. From the main theorem, a common fixed point theorem for commutative generalized hybrid mappings is derived as a special ...
Kondo Atsumasa
doaj   +1 more source

Existence and Uniqueness Results for the Coupled Pantograph System With Caputo Fractional Operator and Hadamard Integral

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani   +4 more
wiley   +1 more source

Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

open access: yes, 2014
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
semanticscholar   +1 more source

Non-solid cone b-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients

open access: yesOpen Mathematics, 2023
In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj   +1 more source

Generalization of the Banach contraction principle [PDF]

open access: yes, 2013
We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle.
Berzig, Maher
core  

Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces

open access: yes, 2015
In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by means of a cone ...
Fierro, Raúl
core   +1 more source

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