A generalized common fixed point theorem under an implicit relation

• Autorzy: Surekha, D. , Phaneendra, T.
• Języki publikacji: EN

Abstrakty

EN

An extended generalization of recent result of Kikina and Kikina (2011) has been established through the notions of weak compatibility and the property E.A., under an implicit-type relation and restricted orbital completeness of the space. The result of this paper also extends and generalizes that of Imdad and Ali (2007).

Słowa kluczowe

PL

punkt stały wspólny; kompatybilnośc niska

EN

property (E.A); implicit-type relation; orbitally complete metric spaces; weakly compatible maps; common fixed point

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 1
• Strony: 91--99
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Surekha, D.

• Department of Mathematics, Hyderabad Institute of Technology & Management, Rr District, Hyderabad, Telangana State, India,

autor

Phaneendra, T.

• Applied Analysis Division, School of Advanced Sciences, Vit University, Vellore-632014, Tamil Nadu, India,

Bibliografia

• [1] M. A. Aamri, D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181–188.
• [2] G. Jungck, Compatible maps and common fixed points, Internat J. Math. Math. Sci. 9 (1986), 771–779.
• [3] G. Jungck, B. E. Rhoades, Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), 227–238.
• [4] M. Imdad, J. Ali, Jungck’s common fixed point theorem and E.A. property, Acta Math. Sinica (English Ser.) 24 (2008), 87–94.
• [5] L. Kikina, K. Kikina,Fixed points in k-complete metric spaces, Demonstratio Math. 44 (2011), 349–357.
• [6] M. Akkouchi, V. Popa, Well-posedness of a common fixed point problem for three mappings under strict contractive conditions, Buletin. Univers. Petrol-Gaze din Ploiesti, Seria Math. Inform. Fiz. 61 (2009), 1–10.
• [7] H. K. Pathak, Y. J. Cho, S. M. Kang, Remarks on R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 17 (1997), 247–257.
• [8] T. Phaneendra, Contractive modulus and common fixed point, Math. Ed. 38(4) (2004), 210–212.
• [9] T. Phaneendra, Coincidence points of two weakly compatible self-maps and common fixed point theorem through orbits, Indian J. Math. 46(2–3) (2004), 173–180.
• [10] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1999), 157–163.