Fixed point theorems for mappings with common limit range property satisfying generalized (ψ,φ)-weak contractive conditions

被引：16

作者：

Imdad M. ^{[1
]}

Chauhan S. ^{[2
]}

Kadelburg Z. ^{[3
]}

机构：

[1] Department of Mathematics, Aligarh Muslim Univeristy, Aligarh

[2] R.H. Government Postgraduate College, Kashipur, 244 713, Uttarakhand

[3] Faculty of Mathematics, University of Belgrade, Studentski trg 16/IV, Beograd

来源：

Mathematical Sciences | 2013年 / 7卷 / 1期

关键词：

Common limit range property; Fixed point; Generalized weak contraction; Metric space; Property (E.A); Weakly compatible mappings;

D O I：

10.1186/2251-7456-7-16

中图分类号：

学科分类号：

摘要：

In this paper, we prove some common fixed point theorems for weakly compatible mappings in metric spaces satisfying generalized (ψ,φ)-contractive conditions under the common limit range property. We present a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings. Our results improve and extend the corresponding results of Radenović et al. (Bull. Iranian Math. Soc. 38(3):625–645, 2012). We also furnish some illustrative examples to support our main results. © 2013, Imdad et al.; licensee Springer.

引用

共 32 条

[1]

Imdad M., An implicit function implies several contraction conditions, Sarajevo J. Math, 4, 17, pp. 269-285, (2008)

[2]

L j B., Generalized contractions and fixed point theorems, Publ. Inst. Math. (Beograd) (N.S.), 12, 26, pp. 19-26, (1971)

[3]

Common fixed point theorems for families of weakly compatible maps, Comput. Math. Appl, 55, 11, pp. 2533-2543, (2008)

[4]

Murthy P.P., Important tools and possible applications of metric fixed point theory. Proceedings of the Third World Congress of Nonlinear Analysts, Part 5 (Catania,2000), Nonlinear Anal, 47, 5, pp. 3479-3490, (2001)

[5]

Pant R.P., Noncompatible mappings and common fixed points, Soochow J. Math, 26, 1, pp. 29-35, (2000)

[6]

Pant R.P., Discontinuity and fixed points, J. Math. Anal. Appl, 240, 1, pp. 280-283, (1999)

[7]

Guerre-Delabriere S., Principles of weakly contractive maps in Hilbert spaces, I. Gohberg, Yu. Lyubich, (eds.) New Results in Operator Theory and its Applications, (1997)

[8]

Rhoades B.E., Some theorems on weakly contractive maps, Nonlinear Anal, 47, pp. 2683-2693, (2001)

[9]

Song Y., Fixed point theory for generalized φ-weak contractions, Appl. Math. Lett, 22, pp. 75-78, (2009)

[10]

Doric D., Common fixed point for generalized (ψ,φ)-weak contractions, Appl. Math. Lett, 22, pp. 1896-1900, (2009)

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