Proper $k$-ball-contractive mappings in $C_b^m[0, + \infty)$

This paper extends and generalizes results of Mukheimer [(?,?,?)-contractive mappings in ordered partial b-metric spaces, J. Nonlinear Sci. Appl. 7(2014), 168-179]. A new concept of (?-?1-?2)-contractive mapping using two altering distance functions in ordered b-metric-like space is introduced and basic fixed point results have been studied. Useful examples are illustrated to justify the applicability and effectiveness of the results presented herein. As an application, the existence of solution of fourth-order two-point boundary value problems is discussed and rationalized by a numerical example.

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Common fixed point theorems for generalized G- η-χ–contractive type mappings with applications

Boletim da Sociedade Paranaense de Matemática ◽

10.5269/bspm.v37i1.33610 ◽

2017 ◽

Vol 37 (1) ◽

pp. 9-20

Author(s):

Manoj Kumar ◽

Serkan Araci

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Contractive Mappings ◽

Nonlinear Anal ◽

Contractive Type ◽

Common Fixed Point Theorems

Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of alpha-psi-contractive type mappings in metric spaces. In 2013, Alghamdi et. al. [2] introduced the concept of G-β--contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G-η-χ-contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.

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An alternating iteration algorithm for solving the split equality fixed point problem with L-Lipschitz and quasi-pseudo-contractive mappings

Journal of Inequalities and Applications ◽

10.1186/s13660-019-2203-7 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Meixia Li ◽

Xueling Zhou ◽

Haitao Che

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Split Feasibility Problem ◽

Fixed Point Problem ◽

Feasibility Problem ◽

Iteration Algorithm ◽

Point Problem ◽

Contractive Mappings ◽

Common Fixed Point Problem ◽

Significant Generalization

Abstract In this paper, we are concerned with the split equality common fixed point problem. It is a significant generalization of the split feasibility problem, which can be used in various disciplines, such as medicine, military and biology, etc. We propose an alternating iteration algorithm for solving the split equality common fixed point problem with L-Lipschitz and quasi-pseudo-contractive mappings and prove that the sequence generated by the algorithm converges weakly to the solution of this problem. Finally, some numerical results are shown to confirm the feasibility and efficiency of the proposed algorithm.

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Continuous Domains in Formal Concept Analysis*

Fundamenta Informaticae ◽

10.3233/fi-2021-2025 ◽

2021 ◽

Vol 179 (3) ◽

pp. 295-319

Author(s):

Longchun Wang ◽

Lankun Guo ◽

Qingguo Li

Keyword(s):

Formal Concept Analysis ◽

Concept Analysis ◽

Continuous Functions ◽

Formal Context ◽

Formal Concept ◽

Contractive Mappings ◽

Continuous Domains ◽

Algebraic Domains ◽

Scott Continuous ◽

Continuous Domain

Formal Concept Analysis (FCA) has been proven to be an effective method of restructuring complete lattices and various algebraic domains. In this paper, the notion of contractive mappings over formal contexts is proposed, which can be viewed as a generalization of interior operators on sets into the framework of FCA. Then, by considering subset-selections consistent with contractive mappings, the notions of attribute continuous formal contexts and continuous concepts are introduced. It is shown that the set of continuous concepts of an attribute continuous formal context forms a continuous domain, and every continuous domain can be restructured in this way. Moreover, the notion of F-morphisms is identified to produce a category equivalent to that of continuous domains with Scott continuous functions. The paper also investigates the representations of various subclasses of continuous domains including algebraic domains and stably continuous semilattices.

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On partial fractional Sturm–Liouville equation and inclusion

Advances in Difference Equations ◽

10.1186/s13662-021-03478-7 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Zohreh Zeinalabedini Charandabi ◽

Hakimeh Mohammadi ◽

Shahram Rezapour ◽

Hashem Parvaneh Masiha

Keyword(s):

Differential Equation ◽

Liouville Equation ◽

Existence Of Solutions ◽

Liouville Problem ◽

Existence Of A Solution ◽

Contractive Mappings ◽

Sturm Liouville

AbstractThe Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive mappings. Also, we give an illustrative example. By using the α-ψ-multifunctions, we prove the existence of solutions for inclusion version of the partial fractional Sturm–Liouville problem. Finally by providing another example and some figures, we try to illustrate the related inclusion result.

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