Fixed Point with Orbital Diametral Function

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(2): 139-143

B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.

Citation:

B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.

Citation:

B. K. Sharma, B. S. Thakur. Fixed Point with Orbital Diametral Function[J]. Applied Mathematics and Mechanics, 1996, 17(2): 139-143.

School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, India

Abstract

A foremost general contraction condition is introduced to prove the existence of fixed points for a self-mapping in a somplete metric space whose orbital diametral functions are closed. This condition covers not only the Kannan type but also covers Reich, and Hardy & Roger's type contractive conditions. An example is given in its support.
- closed orbital diametral function,
- fixed point

[1]	G.E.Hardy and T.D.Rogers,A generalization of a fixed point theorem of Reich,Canad.Math.Bull..16(1973),201-206.
[2]	A.K.Kalinde,On a fixed point theorem for Kannan's type mappings.Math.Japonica 33,5(1988),721-723.
[3]	R.Kannan,Some results on fixed point,Bull.Calcutta Math.Soc.,60(1968),71-76.
[4]	S.Reich,Some remark's concerning contraction mappings.Canad.Math.Bull.,14(1971),121-124.