Browse > Article
http://dx.doi.org/10.14317/jami.2011.29.3_4.743

COINCIDENCE AND COMMON FIXED POINTS OF NONCOMPATIBLEMAPS  

Beg, Ismat (Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences)
Abbas, Mujahid (Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 743-752 More about this Journal
Abstract
Fixed point theorems for two hybrid pairs of single valued and multivalued noncompatible maps under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. These results extend, unify and improve the earlier comparable known results.
Keywords
Common fixed point; coincidence point; (EA) property; noncompatible maps;
Citations & Related Records
연도 인용수 순위
  • Reference
1 H. G. LI, S-coincidence and S¡common fixed point theorems for two pairs of set-valued noncompatible mappings in metric space, J. Nonlinear Sci. Appl. 3 (2010) No.1, 55-62.   DOI
2 Y. Liu, J. Wu and Z. Li, Common fixed points of single valued and multivalued maps, Int. J. Math. Math. Sci., 19 (2005), 3045-3055.
3 S. B. Nadler, Jr., Multivalued contraction mappings, Pacific J. Math., 30 (1969), 475-488.   DOI
4 R. P. Pant, Common fixed point of noncommuting mappings, J. Math. Anal. Appl., 188(1994), 436-440.   DOI   ScienceOn
5 B. E. Rhoades, On multivalued f-nonexpansive maps, Fixed Point Theory Appl., 2 (2001), 89-92.
6 S. Sessa, On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math. Soc., 32(1982), 149-153.
7 N. Shahzad, Invariant approximation and R- subweakly commuting maps, J. Math. Anal. Appl., 257(2001), 39-45.   DOI   ScienceOn
8 S. L. Singh and A. Kumar, Common fixed point theorems for contractive maps, Mat. Bech., 58(2006), 85-90.
9 I. Beg and B.S. Thakar, General iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings, Fixed Point Theory, 9(2) (2008), 407-421.
10 L. S. Dube, A theorem on common fixed points of multivalued mappings, Annal. Soc. Sci. Bruxells, 84(4)(1975), 463-468.
11 O. Hadzic, Common fixed point theorem for single valued and multivalued mappings, Rev. of Research for Sci. Math. Series., 18(1988), 145-151.
12 G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly, 83 (1976), 261-263.   DOI   ScienceOn
13 G. Jungck, Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Soc., 103(1988), 977-983.   DOI   ScienceOn
14 G. Jungck, Common fixed points for noncontinuous nonself maps on a nonmetric space, Far East J. Math. Sci., 4(2) (1996), 199-212.
15 G. Jungck and B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math., 29 (1998), 227-238.
16 A. Azam and I. Beg, Coincidence point of compatible multivalued mappings, Demonstratio Mathematica, 29 (1996), 17-22.
17 T. Kamran, Coincidence and fixed points for hybrid strict contractions, J. Math. Anal. Appl., 299 (2004), 235-241.   DOI   ScienceOn
18 H. Kaneko and S. Sessa, Fixed point theorems for compatible multivalued and single valued mappings, Int. J. Math. Math. Sci., 12 (1989), 257-267.   DOI
19 M. Aamri and D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270 (2002), 181-188.   DOI   ScienceOn
20 I. Beg and M. Abbas, Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory and Appl., 2006(2006) Article ID 74503, pages 1-7.
21 I. Beg and M. Abbas, Fixed point, approximate fixed point and Kantorovich-Rubinstein maximum principle in convex metric spaces, J. Appl. Math & Computing, 27(2008), 211- 226.   DOI   ScienceOn
22 I. Beg and A. Azam, Fixed points of asymptotically regular multivalued mappings, J. Austral Math. Soc., 53(A)(1992), 313-326.
23 I. Beg and A. Azam, Common fixed points for commuting and compatible maps, Discussiones Mathematicae: Differential Inclusions, 16 (1996), 121-135.