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Surveys in Mathematics and its Applications

ISSN1842-6298 (electronic), 1843-7265 (print)

Volume5(2010), 83 – 88

FIXED POINTS OF MAPPINGS WITH

DIMINISHING PROBABILISTIC ORBITAL

DIAMETERS

Irshad Aalam, Naresh Kumar and B. D. Pant

Abstract. In this paper we prove a fixed point theorem for a pair of mappings with probabilis-tic diminishing orbital diameters on Menger spaces and introduce the notion of generalized joint diminishing probabilistic orbital diameters (gjdpod) for a quadruplet of mappings.

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References

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2010 Mathematics Subject Classification: 47H10; 54H25. Keywords: PM Space; Diameter; Orbit.

2 _{I. Aalam, N. Kumar and B. D. Pant}

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Irshad Aalam Naresh Kumar

Department of Mathematics, Department of Mathematics R. H. G. P. G. College Kashipur, R. H. G. P. G. College Kashipur, U. S. Nagar, Uttarakhand, India. U. S. Nagar, Uttarakhand, India. e-mail: aalam math @ rediffmail.com e-mail: knaresh.math @ gmail.com

B. D. Pant

G. P. G. College Champavat Uttarakhand, India.

e-mail: bd math @ rediffmail.com

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