Some Common Fixed Point Theorems in Menger Space

Affiliation(s)

Departement of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Sonepat, Haryana, India.

Department of Applied Sciences, B. M. Institute of Engineering and Technology, Sonepat, Haryana, India.

Departement of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Sonepat, Haryana, India.

Department of Applied Sciences, B. M. Institute of Engineering and Technology, Sonepat, Haryana, India.

Abstract

This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the results for pair of weakly compatible maps along with property (E.A.) using different types of control functions, which generalize the results of Kohli and Vashistha [1] and Kubiaczyk and Sharma [2]. Fourth section is concerned with results for occasionally weakly compatible maps and generalizes, extends and unifies several well known comparable results in literature.

This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the results for pair of weakly compatible maps along with property (E.A.) using different types of control functions, which generalize the results of Kohli and Vashistha [1] and Kubiaczyk and Sharma [2]. Fourth section is concerned with results for occasionally weakly compatible maps and generalizes, extends and unifies several well known comparable results in literature.

Keywords

Weakly Compatible Maps; Occasionally Weakly Compatible Maps; Property (E.A.); Common Property (E.A.)

Weakly Compatible Maps; Occasionally Weakly Compatible Maps; Property (E.A.); Common Property (E.A.)

Cite this paper

S. Kumar and A. Rani, "Some Common Fixed Point Theorems in Menger Space,"*Applied Mathematics*, Vol. 3 No. 3, 2012, pp. 235-245. doi: 10.4236/am.2012.33038.

S. Kumar and A. Rani, "Some Common Fixed Point Theorems in Menger Space,"

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