More general common fixed point theorems under a new concept

• Autorzy: Bouhadjera, H
• Języki publikacji: EN

Abstrakty

EN

A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the existence and uniqueness of common fixed points in several cases.

Słowa kluczowe

PL

odwzorowania ciągłe sekwencyjnie; odwzorowania subkompatybilne

EN

subcompatible mappings; R-weakly commuting mappings of type (Af)(resp. (Ag)); sequentially continuous mappings of type (Af)(resp. (Ag)); weakly reciprocally continuous mappings; weakly subsequentially continuous mappings

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2016
• Tom: Vol. 49, nr 1
• Strony: 64--78
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Bouhadjera, H

• Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria,

Bibliografia

• [1] H. Bouhadjera, Unique and non unique common fixed point theorems, Submitted, March 2014.
• [2] H. Bouhadjera, C. Godet-Thobie, Common fixed point theorems for pairs of subcompatible maps, arXiv: 0906.3159v1 [math. FA], 17 June 2009.
• [3] H. Bouhadjera, C. Godet-Thobie, Common fixed point theorems for pairs of subcompatible maps, arXiv: 0906.3159v2 [math. FA], 23 May 2011.
• [4] D. Gopal, M. Imdad, M. Abbas, Metrical common fixed point theorems without completness and closedness, Fixed Point Theory and Applications, (2012), 2012:18.
• [5] J. K. Kim, R. K. Bisht, A critical remark on subsequential continuity, Nonlinear Funct. Anal. Appl. 19(1) (2014), 127–130.
• [6] R. P. Pant, Common fixed points of four mappings, Bull. Calcutta Math. Soc. 90 (1998), 281–286.
• [7] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436–440.
• [8] R. P. Pant, R. K. Bisht, D. Arora, Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara 57 (2011), 181–190.
• [9] H. K. Pathak, Y. J. Cho, S. M. Kang, Remarks of R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc. 34 (1997), 247–257.
• [10] V. Popa, Fixed point theorems for implicit contractive mappings, Stud. Cercet. Ştiinţ. Ser. Mat. Univ. Bacau 7 (1997), 129–133.
• [11] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1997), 157–163.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.