Results 11 to 20 of about 289 (78)

On a New Stochastic Space of Solution for the Volterra‐Type Summable Equations of Fuzzy Functions

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article explains the sufficient requirements for a newly constructed stochastic space by Poisson‐like matrices and weighted variable exponent sequence spaces of fuzzy functions, as well as the ideals of their operators, for the Kannan contraction operator to have a unique fixed point.
Mustafa M. Mohammed, Awad A. Bakery, Ammar Alsinai   +2 more
wiley   +1 more source

Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper proposes some iterative constructions of fixed points for showing the existence and uniqueness of solutions for functional equations and fractional differential equations (FDEs) in the framework of CAT (0) spaces. Our new approach is based on the M∗‐iterative scheme and the class of mappings with the KSC condition. We first obtain some ∆ and
Latif Ur Rahman, Muhammad Arshad, Sabri T. M. Thabet, Imed Kedim, Xiaolong Qin   +4 more
wiley   +1 more source

On Generalized Caristi Type Satisfying Admissibility Mappings

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this article, the existence and uniqueness of a fixed point were investigated using the concept of (σ, γ)‐contractive in the context of Hausdorff metric space. A well‐known Caristi type is primarily generalized by the new results. The result is improved by building up an example.
Mohammed M. A. Almazah, Basel Hardan, Ahmed A. Hamoud, Faisal A. M. Ali, Tuncer Acar   +4 more
wiley   +1 more source

Making Decisions about How to Solve Nonlinear Dynamical Systems of the Kannan Type in a New Complex Function Space of Formal Power Series

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The sufficient settings of the space generated by absolute type‐weighted gamma matrices of rank p in the Nakano complex functions of the formal power series, as well as its associated prequasioperators’ ideal equipped with definite functions, are defined and explained in this paper.
Meshayil M. Alsolmi, Arafa O. Mustafa, Mustafa M. Mohammed, Awad A. Bakery, Ji Gao   +4 more
wiley   +1 more source

Nonexpansive Mappings on New Premodular Special Space of Sequences

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
For different premodular, which is a generalization of modular, defined by weighted Orlicz sequence space and its prequasi operator ideal, we have examined the existence of a fixed point for both Kannan contraction and nonexpansive mappings acting on these spaces.
Awad A. Bakery, OM Kalthum S. K. Mohamed, Sun Young Cho   +2 more
wiley   +1 more source

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022
In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and Chatterjea type contractions defined on JS metric space.
Youness El Kouch, Jamal Mouline, Devendra Kumar   +2 more
wiley   +1 more source

Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces

Quaestiones Mathematicae, 2017
Consider a self-mapping T defined on a union of two subsets A and B of a Banach space such that T(A) ⊆ B and T(B) ⊆ A. In this work we survey the existence of an optimal approximate solution, known as a best proximity point for a class of cyclic mappings, called cyclic Kannan nonexpansive mappings, in Banach spaces under appropriate sufficient ...
Gabeleh, M., Otafudu, O.O.
openaire   +3 more sources

Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi‐ideal generated by s -numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Caristi’s fixed point is examined.
Awad A. Bakery, Elsayed A. E. Mohamed, Hüseyin Işık   +2 more
wiley   +1 more source

Fixed Point Results on Closed Ball in Convex Rectangular b−Metric Spaces and Applications

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, the concept of convex rectangular b−metric spaces is introduced as a generalization of both convex metric spaces and rectangular b−metric spaces. The purpose of this study is to indicate a way of generalizing Mann’s iteration algorithm and a series of fixed point results in rectangular b−metric spaces.
Chaobo Li, Yunan Cui, Lili Chen, Mohamed A. Taoudi   +3 more
wiley   +1 more source

Multivalued SK-contractions with respect to b-generalized pseudodistances [PDF]

, 2015
A new class of multivalued non-self-mappings, called SK-contractions with respect to b-generalized pseudodistances, is introduced and used to investigate the existence of best proximity points by using an appropriate geometric property. Some new fixed
A Abkar, A Abkar, AA Eldred, B Damjanovic, D Tataru, E Karpinar, E Karpinar, I Valyi, K Wlodarczyk, K Wlodarczyk, K Wlodarczyk, K Wlodarczyk, L-J Lin, M Gabeleh, M Gabeleh, M Gabeleh, M Gabeleh, M Kikkawa, MA Al-Thagafi, MA Al-Thagafi, MA Khamsi, Moosa Gabeleh, MU Ali, O Kada, R Kannan, R Plebaniak, Robert Plebaniak, S Czerwik, S Reich, S Reich, S Reich, S Sadiq Basha, S Shukla, T Suzuki, T Suzuki, V Sankar Raj, WA Kirk, WA Kirk   +37 more
core   +2 more sources