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  1. We introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact...

    Authors: Bikramjit Acharjee and Guru Prem Prasad M
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:5
  2. In this paper, we initiate the fixed point theorems for an orthogonal hybrid interpolative Riech Istrastescus type contractions map on orthogonal b-metric spaces to modify this class proficiently. Also, we provid...

    Authors: Menaha Dhanraj, Arul Joseph Gnanaprakasam and Santosh Kumar
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:3
  3. Several epidemiological models use the Caputo fractional-order differential operator without establishing its significance. This study verifies a Caputo operator-based fractional-order epidemiological model of...

    Authors: Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, Omar Abu Arqub and Mehmet Senol
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:2
  4. In this paper, some fixed-point theorems are stated and proved in S-multiplicative metric spaces. We also show in this paper that some fixed-point results for various S-multiplicative metric spaces are equivalent...

    Authors: Olusola Kayode Adewale, Samuel Olusola Ayodele, Babatunde Eriwa Oyelade and Emmanuella Ehui Aribike
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2024 2024:1
  5. In this article, we prove the existence of the best proximity point for the class of nonself generalized pseudo-contractive and Lipschitzian mappings. Also, we approximate the best proximity point through the ...

    Authors: V. Pragadeeswarar and R. Gopi
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:19
  6. We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial extrapolation method for solving the resolvent of sum of two...

    Authors: H. A. Abass, M. Aphane and O. K. Oyewole
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:17
  7. In this paper, we prove strong convergence theorem of the general inertial Mann–Halpern algorithm for nonexpansive mappings in the setting of Hilbert spaces. We also prove weak convergence theorem of the gener...

    Authors: Solomon Gebregiorgis and Poom Kumam
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:18
  8. We develop a novel randomised block-coordinate primal-dual algorithm for a class of non-smooth ill-posed convex programs. Lying midway between the celebrated Chambolle–Pock primal-dual algorithm and Tseng’s ac...

    Authors: Mathias Staudigl and Paulin Jacquot
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:14
  9. We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spa...

    Authors: A. Y. Inuwa, P. Kumam, P. Chaipunya and S. Salisu
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:13
  10. The motivation of the present paper is to introduce and establish some new fixed point results for monotone multivalued functions in partially ordered complete http://static-content.springer.com/image/art%3A10.1186%2Fs13663-023-00748-9/13663_2023_748_Article_IEq1.gif ...

    Authors: Nassar Aiman Majid, Alaa AL Jumaili, Zhen Chuan Ng and See Keong Lee
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:11
  11. The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear ...

    Authors: George Xianzhi Yuan
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:10
  12. In this paper, we introduce fuzzy generalized β-F-contractions as a generalization of fuzzy F-contractions with admissible mappings. We deduce sufficient conditions for the existence and uniqueness of fixed point...

    Authors: Koon S. Wong, Zabidin Salleh and Che M. I. Che Taib
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:8
  13. In this paper, the numerical solutions of time fractional Burger’s and coupled Burgers’ equations are obtained using the parametric quintic spline method with a local truncation error of order eight in distanc...

    Authors: D. A. Hammad, Mourad S. Semary and Ahmed G. Khattab
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:9
  14. The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set ...

    Authors: Ravikumar Kasinathan, Ramkumar Kasinathan, Varshini Sandrasekaran and Juan J. Nieto
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:7
  15. In this paper, we introduce a new iterative forward–backward splitting algorithm with errors for solving the split monotone variational inclusion problem of the sum of two monotone operators in real Hilbert sp...

    Authors: Pattanapong Tianchai
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:5
  16. In this work, we study a self-adaptive extragradient algorithm for approximating a common solution of a pseudomonotone equilibrium problem and fixed-point problem for multivalued nonexpansive mapping in Hadama...

    Authors: Kazeem Olalekan Aremu, Lateef Olakunle Jolaoso and Olawale Kazeem Oyewole
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:4
  17. In this paper, a Halpern–Tseng-type algorithm for approximating zeros of the sum of two monotone operators whose zeros are J-fixed points of relatively J-nonexpansive mappings is introduced and studied. A strong ...

    Authors: Abubakar Adamu, Poom Kumam, Duangkamon Kitkuan and Anantachai Padcharoen
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:3
  18. In this paper, the existence and uniqueness of the solutions of Caputo fractional delay differential equations under nonlocal and integral boundary value conditions are studied. By using the Banach contraction...

    Authors: Ziyue Cui and Zongfu Zhou
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:1
  19. The ambition of this work is to introduce the notion of left (right) K-sequentially complete ordered dislocated fuzzy quasimetric spaces and to define a relevant Hausdorff metric on compact sets. A new approach, ...

    Authors: Abdullah Shoaib and Kheeba Khaliq
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:27
  20. In this work, we prove the weak convergence of a one-step self-adaptive algorithm to a solution of the sum of two monotone operators in 2-uniformly convex and uniformly smooth real Banach spaces. We give numer...

    Authors: Abdulmalik U. Bello, Charles E. Chidume and Maryam Alka
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:25
  21. In this article, we present an approach to solve a wide range of nonlinear equations formulated in extended b-metric spaces based on a new fixed-point theorem on these spaces. This research effort was motivate...

    Authors: Abdelkader Belhenniche, Liliana Guran, Sfya Benahmed and Fernando Lobo Pereira
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:24
  22. The purpose of this study is to demonstrate results on fixed point theory in quasi-partial b-metric space recognizing a new type of mapping, which is a blend of F-contraction and Kannan contraction, and to est...

    Authors: Pragati Gautam, Santosh Kumar, Swapnil Verma and Gauri Gupta
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:23
  23. Implicit block approaches are used by a number of numerical analyzers to model mild, medium, and hard differential systems. Their excellent stability characteristics, self-starting nature, quick convergence, a...

    Authors: Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, Evren Hincal and Asif Ali Shaikh
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:22
  24. The purpose of this manuscript is to obtain some fixed point results in generalized controlled fuzzy metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreove...

    Authors: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Abdollah Dinmohammadi, Vahid Parvaneh and Babak Mohammadi
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:21
  25. In this paper, we propose a semi-smooth Newton method and a primal-dual active set strategy to solve dynamical contact problems with friction. The conditions of contact with Coulomb’s friction can be formulate...

    Authors: Stéphane Abide, Mikaël Barboteu, Soufiane Cherkaoui and Serge Dumont
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:19
  26. The main goal of this paper is to study a class of differential nonlinear system involving parabolic variational and history-dependent hemivariational inequalities in Banach spaces by using the penalty method....

    Authors: Xu Chu, Tao Chen, Nan-jing Huang and Yi-bin Xiao
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:17
  27. This work establishes the existence of a weak solution to a new model for the process of debonding of two elastic 2D-bars caused by humidity and vibrations. A version of the model was first presented in the PC...

    Authors: Meir Shillor and Kenneth L. Kuttler
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:15
  28. We consider a nonlinear elasticity problem in a bounded domain, its boundary is decomposed in three parts: lower, upper, and lateral. The displacement of the substance, which is the unknown of the problem, is ...

    Authors: Mahdi Boukrouche, Boubakeur Merouani and Fayrouz Zoubai
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:14
  29. In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized

    Authors: Bontu Nasir Abagaro, Kidane Koyas Tola and Mustefa Abduletif Mamud
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:13
  30. As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech. 58...

    Authors: Fei Wang and B. Daya Reddy
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:10
  31. In this paper, an inertial S-iteration iterative process for approximating a common fixed point of a finite family of quasi-Bregman nonexpansive mappings is introduced and studied in a reflexive Banach space. ...

    Authors: Bashir Ali and Aisha A. Adam
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:9
  32. In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are ...

    Authors: Jamal Eddine Lazreg, Nadia Benkhettou, Mouffak Benchohra and Erdal Karapinar
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:6
  33. In this paper we give a simple proof of three fixed point theorems of Secelean and Wardowski by using the fixed point result of Jachymski et al. Our result is established with weaker assumptions than the three...

    Authors: Satit Saejung and Pinya Ardsalee
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:7
  34. We consider an abstract inclusion in a real Hilbert space, governed by an almost history-dependent operator and a time-dependent multimapping with prox-regular values. We establish the unique solvability of th...

    Authors: Florent Nacry and Mircea Sofonea
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:5
  35. We study a mechanical system with a finite number of degrees of freedom, subjected to perfect time-dependent frictionless unilateral (possibly nonconvex) constraints with inelastic collisions on active constra...

    Authors: Samir Adly and Nguyen Nang Thieu
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:3
  36. This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valu...

    Authors: Joachim Gwinner
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:4

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