Geodesic
A fixed point theorem for ($\varphi,L$)-weak contraction mappings on a partial metric space
Erduran, Ali1 ; Kadelburg, Z.2 ; Nashine, H. K.3 ; Vetro, C.4
1 Department of Mathematics, Faculty of Arts and Sciences, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey
2 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia
3 Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101 (Chhattisgarh), India
4 Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 196-204.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we explore ($\varphi,L$)-weak contractions of Berinde by obtaining Suzuki-type fixed point results. Thus, we obtain generalized fixed point results for Kannan's, Chatterjea's and Zamfirescu's mappings on a 0-complete partial metric space. In this way we obtain very general fixed point theorems that extend and generalize several related results from the literature.
DOI : 10.22436/jnsa.007.03.06
Classification : 47H10, 54H25
Keywords: (\(\varphi, L\))-weak contraction, partial metric, 0-complete space

Erduran, Ali 1 ; Kadelburg, Z. 2 ; Nashine, H. K. 3 ; Vetro, C. 4

1 Department of Mathematics, Faculty of Arts and Sciences, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey
2 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia
3 Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101 (Chhattisgarh), India
4 Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy 
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Erduran, Ali; Kadelburg, Z.; Nashine, H. K.; Vetro, C. A fixed point theorem for (\(\varphi,L\))-weak contraction mappings on a partial metric space. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 3, p. 196-204. doi : 10.22436/jnsa.007.03.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.03.06/

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