Some fixed point results for TAC-Suzuki contractive mappings
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In this paper, we introduce the notion of modified TAC-Suzuki-Berinde type $F$-contraction and modified TAC-$(\psi,\phi)$-Suzuki type rational mappings in the frame work of complete metric spaces, we also establish some fixed point results regarding this class of mappings and we present some examples to support our main results. The results obtained in this work extend and generalize the results of Dutta et al.~\cite{du}, Rhoades \cite{rh}, Doric, \cite{doc}, Khan et al.~\cite{kh}, Wardowski \cite{wad}, Piri et al.~\cite{piri}, Sing et al.~\cite{sing} and many more results in this direction.
Abstract
In this paper, we introduce the notion of modified TAC-Suzuki-Berinde type $F$-contraction and modified TAC-$(\psi,\phi)$-Suzuki type rational mappings in the frame work of complete metric spaces, we also establish some fixed point results regarding this class of mappings and we present some examples to support our main results. The results obtained in this work extend and generalize the results of Dutta et al.~\cite{du}, Rhoades \cite{rh}, Doric, \cite{doc}, Khan et al.~\cite{kh}, Wardowski \cite{wad}, Piri et al.~\cite{piri}, Sing et al.~\cite{sing} and many more results in this direction.
참고문헌 (26)
- C. T. Aage, "Fixed points for weak contractions in G-metric spaces", Appl. Math. E-Notes, 12, pp.23~28 (2012)
- S. Banach, "Sur les oprations dans les ensembles abstraits et leur application aux quations intgrales", Fundamenta Mathematicae, 3, pp.133~181 (1922)
- G. V. R. Babu, "A xed point theorem of generalized weakly contractive maps in orbitally complete metric spaces", Thai J. Math, 9(1), pp.1~10 (2011)
- V. Berinde, "Approximating xed points of weak contractions using the Picard iteration", Nonlinear Anal. Forum, 9(1), pp.43~53 (2004)
- V. Berinde, "General constructive xed point theorems for Ciric-type almost contractions in metric spaces", Carpathian J. Math, 24(2), pp.10~19 (2008)
- S. Chandok, "Some xed point results for TAC-type contractive mappings", J. Funct. Spaces, 2016, pp.6~ (2016)[DOI]
- Binayak Choudhury, "Suzuki type common fixed point theorem in complete metric space and partial metric space", Filomat, 29(6), pp.1377~1387 (2015), National Library of Serbia[DOI]
- Dragan Đorić, "Common xed point for generalized (Ψ, φ)-weak contractions", Applied Mathematics Letters, 22(12), pp.1896~1900 (2009), Elsevier BV[DOI]
- P. N. Dutta, "A generalisation of contraction principle in metric spaces", Fixed Point Theory Appl, 2008, pp.8~ (2008)[DOI]
- Xiaoming Fan, "Some fixed point theorems in generalized quasi- partial metric spaces", Journal of Nonlinear Sciences and Applications, 09(04), pp.1658~1674 (2016), International Scientific Research Publications MY SDN. BHD[DOI]
- Michael A. Geraghty, "On Contractive Mappings", Proceedings of the American Mathematical Society, 40(2), pp.604~ (1973), JSTOR[DOI]
- D. S. Jaggi, "Some unique xed point theorems", Indian J. Pure Appl. Math, 8(2), pp.223~230 (1977)
- M.S. Khan, "Fixed point theorems by altering distances between the points", Bulletin of the Australian Mathematical Society, 30(1), pp.1~9 (1984), Cambridge University Press (CUP)[DOI]
- J. Morales, "Some results on T-Zamrescu operators", Revista Notas de Matematics, 5(1), pp.64~71 (2009)
- J. Morales, "Some generalizations of Jungck's xed point theorem", Int. J. Math. Math. Sci, 2012, pp.19~ (2012)[DOI]
- P. P. Murthy, "n-tupled xed point theorems for weak-contraction in partially ordered complete G-metric spaces", New Trends Math. Sci, 3(4), pp.50~75 (2015)
- Hossein Piri, "Some fixed point theorems concerning F-contraction in complete metric spaces", Fixed Point Theory and Applications, 2014(1) (2014), Springer Science and Business Media LLC[DOI]
- B.E. Rhoades, "Some theorems on weakly contractive maps", Nonlinear Analysis: Theory, Methods & Applications, 47(4), pp.2683~2693 (2001), Elsevier BV[DOI]
- Peyman SALIMI, "A result of suzuki type in partial G-metric spaces", Acta Mathematica Scientia, 34(2), pp.274~284 (2014), Elsevier BV[DOI]
- Bessem Samet, "Fixed point theorems for -contractive type mappings", Nonlinear Analysis: Theory, Methods & Applications, 75(4), pp.2154~2165 (2012), Elsevier BV[DOI]
- Nicolae-Adrian Secelean, "Iterated function systems consisting of F-contractions", Fixed Point Theory and Applications, 2013(1) (2013), Springer Science and Business Media LLC[DOI]
- W. Shatanawi, "Some xed-point results for a G-weak contraction in G-metric spaces", Abstr. Appl. Anal, 2012, pp.19~ (2012)
- Shyam Singh, "A fixed point theorem for generalized weak contractions", Filomat, 29(7), pp.1481~1490 (2015), National Library of Serbia[DOI]
- Tomonari Suzuki, "Fixed point theorems and convergence theorems for some generalized nonexpansive mappings", Journal of Mathematical Analysis and Applications, 340(2), pp.1088~1095 (2008), Elsevier BV[DOI]
- Dariusz Wardowski, "Fixed points of a new type of contractive mappings in complete metric spaces", Fixed Point Theory and Applications, 2012(1) (2012), Springer Science and Business Media LLC[DOI]
- Fangfang Yan, "A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations", Fixed Point Theory and Applications, 2012(1), pp.152~ (2012), Springer Science and Business Media LLC[DOI]
