Fixed point and homotopy result for mappings satisfying an implicit relation

• Autorzy: I. Altun , D. Turkoglu
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.

Słowa kluczowe

EN

fixed point; implicit relation; homotopy result

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2007
• Tom: 27
• Numer: 2
• Strony: 349-363

Daty

wydano

2007

otrzymano

2006-09-15

Twórcy

autor

I. Altun

• Department of Mathematics, Faculty of Science and Arts, Gazi University, 06500 Teknikokullar, Ankara, Turkey

autor

D. Turkoglu

• Department of Mathematics, Faculty of Science and Arts, Gazi University, 06500 Teknikokullar, Ankara, Turkey

Bibliografia

• [1] R.P. Agarwal and D. O'Regan, Fixed point theory for generalized contraction on space with two metrics, J. Math. Anal. Appl. 248 (2000), 402-414.
• [2] R.P. Agarwal, D. O'Regan and M. Sambandham, Random and deterministic fixed point theory for generalized contractive maps, Appl. Anal. 83 (7) (2004), 711-725.
• [3] G.E. Hardy and T.G. Rogers, A generalization of a fixed point theorem of Riech, Canad. Math. Bull. 16 (1973), 201-206.
• [4] M. Imdad, S. Kumar and M.S. Khan, Remarks on some fixed point theorems satisfying implicit relations, Rad. Math. 11 (1) (2002), 135-143.
• [5] V. Popa, A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation, Demonstratio Math. 33 (1) (2000), 159-164.
• [6] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1) (1999), 157-163.
• [7] S. Sharma and B. Desphande, On compatible mappings satisfying an implicit relation in common fixed point consideration, Tamkang J. Math. 33 (3) (2002), 245-252.

Identyfikatory

DOI

10.7151/dmdico.1089