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Journal articles on the topic 'C-Class Generalized MJ−Contraction'

Author: Grafiati
Published: 7 June 2025
Last updated: 16 July 2025

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1

Omidire, O. J., A. H. Ansari, R. D. Ariyo, and M. Aduragbemi. "Approximating Fixed Point of Generalized C-class Contractivity Conditions." International Journal of Mathematical Sciences and Optimization: Theory and Applications 11, no. 1 (2025): 1–10. https://doi.org/10.5281/zenodo.15173994.

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 In this study, we introduced novel class of contractivity conditions called C-class Akram  contraction and C-class generalized MJ−Contraction and established the convergence of Picard  and Jungck iterations to the unique fixed point and unique common fixed point respectively. Our results generalizes and extends some existing related results in literature.
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2

Ansari, Arslan, Naeem Saleem, Brian Fisher, and M. S. Khan. "C-class function on Khan type fixed point theorems in generalized metric space." Filomat 31, no. 11 (2017): 3483–94. http://dx.doi.org/10.2298/fil1711483a.

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The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.
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3

Mungkala, Chuanpit, and Pheerachate Bunpatcharacharoen. "Convergence Theorem for Multivalued Almost Type Contractions via Generalized Simulation Functions." WSEAS TRANSACTIONS ON MATHEMATICS 21 (November 4, 2022): 756–64. http://dx.doi.org/10.37394/23206.2022.21.86.

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The purpose of this work is to introduce the concepts of generalized multivalued almost type Zcontraction along with C-class functions and generalized Suzuki multivalued almost type Z-contraction along with C-class functions for a pair of mappings, as well as to show that common fixed point theorems for such mappings in complete metric spaces. The results of this study generalize and expand on some established fixed point findings in the literature. We derive several corollaries from our core results and offer examples to support our results.
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4

Taieb, Hamaizia and Said Beloul. "Common fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces". Annals of Communications in Mathematics 4, № 2 (2021): 155–63. https://doi.org/10.5281/zenodo.10049031.

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In this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results. 
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5

BORIWAN, PORNPIMON, NARIN PETROT, and SUTHEP SUANTAI. "Fixed point theorems for Presic almost contraction mappings in orbitally complete metric spaces endowed with directed graphs." Carpathian Journal of Mathematics 32, no. 3 (2016): 303–13. http://dx.doi.org/10.37193/cjm.2016.03.06.

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The main aim of this paper is to introduce a class of generalized contractions in product spaces in the sense of Presiˇ c. Some examples and fixed point theorems for such introduced mappings in the setting of orbitally ´ complete metric spaces are proved. The results presented here extend and include many existing several results in the literature.
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6

Hamaizia, Taieb. "Fixed point theorems for generalized \(\left( \psi ,\varphi ,F\right) \)-contraction type mappings in \(b\)-metric spaces with applications." Open Journal of Mathematical Analysis 5, no. 1 (2021): 35–41. http://dx.doi.org/10.30538/psrp-oma2021.0080.

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The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete \(b\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.
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7

Abbas, Mujahid, Vladimir Rakočević, and Zahra Noor. "Perov multivalued contraction pair in rectangular cone metric spaces." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 8, no. 3 (2021): 484–501. http://dx.doi.org/10.21638/spbu01.2021.310.

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Perov studied the Banach contraction principle in the framework of a generalized metric space and presented Perov contraction condition where the contractive constant is replaced by a matrix with nonnegative entries and spectral radius less than 1. Azam et al. presented the notion of rectangular cone metric space following the idea of Branciari, Huang and Zhang by replacing the triangular inequality in the cone metric space by rectangular inequality. Motivated by the work of Abbas and Vetro and Radenovi´c, the purpose of this paper is to introduce a new class of Perov type multivalued mappings
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8

Ansari, Arslan Hojat, та Anchalee Kaewcharoen. "C -class functions and fixed point theorems for generalized α−η−ψ−φ−F− contraction type mappings in α−η− complete metric spaces". Journal of Nonlinear Sciences and Applications 09, № 06 (2016): 4177–90. http://dx.doi.org/10.22436/jnsa.009.06.60.

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9

Bohm, Kristina, Joachim Ingwersen, Josipa Milovac, and Thilo Streck. "Distinguishing between early- and late-covering crops in the land surface model Noah-MP: impact on simulated surface energy fluxes and temperature." Biogeosciences 17, no. 10 (2020): 2791–805. http://dx.doi.org/10.5194/bg-17-2791-2020.

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Abstract. Land surface models are essential parts of climate and weather models. The widely used Noah-MP land surface model requires information on the leaf area index (LAI) and green vegetation fraction (GVF) as key inputs of its evapotranspiration scheme. The model aggregates all agricultural areas into a land use class termed “cropland and pasture”. In a previous study we showed that, on a regional scale, the GVF has a bimodal distribution formed by two crop groups differing in phenology and growth dynamics: early-covering crops (ECC; e.g., winter wheat, winter rapeseed, winter barley) and
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10

Otto, Steve W. "Parallel Array Classes and Lightweight Sharing Mechanisms." Scientific Programming 2, no. 4 (1993): 203–16. http://dx.doi.org/10.1155/1993/393409.

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We discuss a set of parallel array classes, MetaMP, for distributed-memory architectures. The classes are implemented in C++ and interface to the PVM or Intel NX message-passing systems. An array class implements a partitioned array as a set of objects distributed across the nodes – a "collective" object. Object methods hide the low-level message-passing and implement meaningful array operations. These include transparent guard strips (or sharing regions) that support finite-difference stencils, reductions and multibroadcasts for support of pivoting and row operations, and interpolation/contra
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11

BÜYÜKKAYA, Abdurrahman, та Mahpeyker ÖZTÜRK. "On Some Fixed Point Theorems for G (Σ, θ , Ξ)− Contractions in Modular b−Metric Spaces". Fundamental Journal of Mathematics and Applications, 27 серпня 2022. http://dx.doi.org/10.33401/fujma.1107963.

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This article aims to specify a new $C-$class function endows with altering distance and ultra altering distance function via generalized $\Xi -$ contraction, which is called as the $\mathcal{G}\left( {\Sigma ,\vartheta ,\Xi } \right) - $contraction in modular $b-$metric space. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.
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12

"Common fixed point result for generalized α*- ψ-contraction for C-class functions in b-metric spaces". Annals of Communications in Mathematics, 2021. http://dx.doi.org/10.62072/acm.2021.040208.

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In this paper, we prove common fixed point theorems for α∗-ψ-contraction in b-metric spaces, which generalizes the result of S. Aleksic et al [Remarks on common fixed point results for generalized α∗-ψ-contraction multivalued mappings in b-metric spaces ,Adv. Fixed Point Theory, 9 (2019), No. 1, 1-16] using the concept of C class function in b-in metric spaces. An example is given to support our results.
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13

Ampadu, Clement Boateng. "Banach Contraction Mapping Theorem in (α, β, c)-Interpolative Metric Space". Earthline Journal of Mathematical Sciences, 15 лютого 2025, 313–17. https://doi.org/10.34198/ejms.15325.313317.

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In this paper we introduce the notion of (α, β, c)-interpolative metric space as an extension of (α, c)-interpolative metric space [Karapınar, E. (2023). An open discussion: Interpolative metric spaces. Advances in the Theory of Nonlinear Analysis and Its Applications, 7(5), 24-27]. The (α, β, c)-interpolative metric space can be regarded as a generalization of generalized metric space [Branciari, A. (2000). A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces. Publicationes Mathematicae Debrecen, 57(1), 31-37]. Additionally, we prove the Banach contraction
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14

Kittisopaporn, Adisorn, Pattrawut Chansangiam, and Wicharn Lewkeeratiyutkul. "Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle." Advances in Difference Equations 2021, no. 1 (2021). http://dx.doi.org/10.1186/s13662-020-03185-9.

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AbstractWe derive an iterative procedure for solving a generalized Sylvester matrix equation $AXB+CXD = E$ A X B + C X D = E , where $A,B,C,D,E$ A , B , C , D , E are conforming rectangular matrices. Our algorithm is based on gradients and hierarchical identification principle. We convert the matrix iteration process to a first-order linear difference vector equation with matrix coefficient. The Banach contraction principle reveals that the sequence of approximated solutions converges to the exact solution for any initial matrix if and only if the convergence factor belongs to an open interval
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15

Kumssa, Leta Bekere. "FIXED POINTS FOR FG(ξ; λ; θ)-GENERALIZED CONTRACTION WITH CG-CLASS FUNCTIONS IN bv(s)-METRIC SPACES". Facta Universitatis, Series: Mathematics and Informatics, 13 грудня 2024, 591. https://doi.org/10.22190/fumi220110040k.

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The primary aim of this study is to establish the existence of a fixed point for FG(ξ, λ, θ)-generalized contractions in the context of bv(s)-metric spaces. The obtained result extends various well-established findings in metric spaces, b-metric spaces, rectangular b-metric spaces, and bv(s) metric spaces. Our discoveries not only expand upon and consolidate existing results in C-class functions but also build upon several previous contributions in the literature. Furthermore, we delve into and elaborate on the recently introduced concept of CG-class functions, providing illustrative examples.
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