Common fixed point results for generalized orthogonal $F$-Suzuki contraction for family of multivalued mappings in orthogonal $b$-metric spaces
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초록
In this paper, we introduce a new class of mappings called the generalized orthogonal $F$-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal $b$-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal $b$-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.
Abstract
In this paper, we introduce a new class of mappings called the generalized orthogonal $F$-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal $b$-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal $b$-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.
참고문헌 (33)
- M. Abbas, "Common fixed points of (R,α)-generalized rational multivalued contractions in R-complete b-metric spaces", Commun. Optimization Theory, 2019, pp.14~ (2019)
- Mujahid Abbas, "Common Fixed Points of Family of Multivalued F-Contraction Mappings on Ordered Metric Spaces", Vietnam Journal of Mathematics, 48(1), pp.11~21 (2020), Springer Science and Business Media LLC[DOI]
- Mujahid Abbas, "Fixed point theorems for two new classes of multivalued mappings", Applied Mathematics Letters, 22(9), pp.1364~1368 (2009), Elsevier BV[DOI]
- Asadollah Aghajani, "Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces", Mathematica Slovaca, 64(4), pp.941~960 (2014), Walter de Gruyter GmbH[DOI]
- T. O. Alakoya, "Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems", Computational and Applied Mathematics, 41(1), pp.31~ (2022), Springer Science and Business Media LLC[DOI]
- Hamed Hamdan Alsulami, "Fixed points of generalized F-Suzuki type contraction in complete b-metric spaces", Discrete Dynamics in Nature and Society, 2015, pp.1~8 (2015), Hindawi Limited[DOI]
- I. A. Bakhtin, "Functional analysis", pp.26~37 (1989), Ul'yanovsk. Gos. Ped. Inst.
- Stefan Banach, "Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales", Fundamenta Mathematicae, 3, pp.133~181 (1922), Institute of Mathematics, Polish Academy of Sciences[DOI]
- Ismat Beg, "Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications", Journal of Function Spaces, 2021, pp.1~12 (2021), Hindawi Limited[DOI]
- M. Bota, "On Ekeland's variational principle in b-metric spaces", Fixed Point Theory, 12(1), pp.21~28 (2011)
- Monica Cosentino, "Fixed point results for F-contractive mappings of Hardy-Rogers-type", Filomat, 28(4), pp.715~722 (2014), National Library of Serbia[DOI]
- S. Czerwik, "Contraction mappings in b-metric spaces", Acta Math. Inform. Univ. Os-traviensis, 1, pp.5~11 (1993)
- M. E. Gordji, "Fixed point theory in generalized orthogonal metric space", J. Linear Topol. Algebra, 6(3), pp.251~260 (2017)
- M. E. Gordji, "Fixed point theory in"-connected orthogonal metric space", Shand Commun. Math. Anal, 16(1), pp.35~46 (2019)
- M.E. Gordji, "On orthogonal sets and Banach fixed point theorem", Fixed Point Theory, 18(2), pp.569~578 (2017), Babes-Bolyai University[DOI]
- A. Latif, "Geometric xed points for single and multivalued mappings", Demon-stratio Math, 30(4), pp.791~800 (1997)
- B. T. Leyew, "Fixed point results of generalized Suzuki-Geraghty contrac-tions on f-orbitally complete b-metric spaces", Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys, 79(2), pp.113~124 (2017)
- A. A. Mebawondu, "Some fixed point results for a generalized TAC-Suzuki-Berinde type F-contractions in b-metric spaces", Appl. Math. E-Notes, 19, pp.629~653 (2019)
- Akindele A. Mebawondu, "Some fixed point results for TAC-Suzuki contractive mappings", 대한수학회논문집, 34(4), pp.1201~1222 (2019), 대한수학회[DOI]
- A. A. Mebawondu, "Suzuki-type fixed point results in Gb-metric spaces", Asian-European Journal of Mathematics, 14(05), pp.2150070~ (2020), World Scientific Pub Co Pte Lt[DOI]
- Juan J. Nieto, "Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations", Order, 22(3), pp.223~239 (2005), Springer Science and Business Media LLC[DOI]
- Juan J. Nieto, "Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations", Acta Mathematica Sinica, English Series, 23(12), pp.2205~2212 (2006), Springer Science and Business Media LLC[DOI]
- G. N. Ogwo, "Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems", Optimization, pp.1~35 (2021), Informa UK Limited[DOI]
- G. N. Ogwo, "Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and xed point problems in Banach spaces", Demonstr. Math (2021)
- Hossein Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces", Fixed Point Theory and Applications, 2014(1), pp.11~ (2014), Springer Science and Business Media LLC[DOI]
- André C. M. Ran, "A fixed point theorem in partially ordered sets and some applications to matrix equations", Proceedings of the American Mathematical Society, 132(5), pp.1435~1443 (2003), American Mathematical Society (AMS)[DOI]
- Ioan A. Rus, "Data dependence of the fixed point set of some multivalued weakly Picard operators", Nonlinear Analysis: Theory, Methods & Applications, 52(8), pp.1947~1959 (2003), Elsevier BV[DOI]
- Kanokwan Sawangsup, "Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces", Journal of Fixed Point Theory and Applications, 22(1), pp.14~ (2019), Springer Science and Business Media LLC[DOI]
- Margherita Sgroi, "Multi-valued F-contractions and the solutions of certain functional and integral equations", Filomat, 27(7), pp.1259~1268 (2013), National Library of Serbia[DOI]
- V. A. Uzor, "Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and xed point problems", Open Math (2022)
- Dariusz Wardowski, "Fixed points of a new type of contractive mappings in complete metric spaces", Fixed Point Theory and Applications, 2012(1), pp.6~ (2012), Springer Science and Business Media LLC[DOI]
- D. Wardowski, "Fixed Points Of F-Weak Contractions On Complete Metric Spaces", Demonstratio Mathematica, 47(1), pp.146~155 (2014), Walter de Gruyter GmbH[DOI]
- Qing Yang, "Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on $O$-complete metric spaces", AIMS Mathematics, 5(6), pp.5734~5742 (2020), American Institute of Mathematical Sciences (AIMS)[DOI]
