Common Fixed Point Theorems For Weakly Compatible Mappings Satisfying Rational Contractive Conditions

Authors

  • A.K. GOYAL A.K. GOYAL Department of Mathematics, M. S. J. Govt. P.G. College, Bharatpur (Raj.) Author

DOI:

https://doi.org/10.61841/41qg3a85

Keywords:

Complete metric spaces,, fixed points,, compatible mapping, weak compatible mapping.

Abstract

By using notions of compatibility, weak compatibility and commutativity, we prove some common fixed point theorems for six mappings involving rational contractive conditions motivated by Nesic [13] in complete metric spaces. Our work generalizes some earlier results of Fisher [1], Jeong-Rhoades [6], Kannan [11] and others.

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References

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[13]. Slobodan, C. Nesic., “Results on fixed points of aymptotically regular mappings”, Ind. J. Pure. Appl. Math., 30 (5) (1999), 491-494.

[14]. S. Sessa., “On a weak commutativity condition in fixed point consideration”, Publ. Inset. Math., 32 (1982), 149-153.

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Published

30.06.2013

How to Cite

A.K. GOYAL, A. G. (2013). Common Fixed Point Theorems For Weakly Compatible Mappings Satisfying Rational Contractive Conditions. International Journal of Psychosocial Rehabilitation, 17(No. 1), 223-231. https://doi.org/10.61841/41qg3a85