In this paper, we give a generalized definition of diameter of a set in a partial metric space and as a consequence, a Cantor's Intersection like Theorem for partial metric spaces follows. We apply this theorem to study some fixed point results for generalized contractive type mappings over a complete partial metric space and also give some results on continuity of fixed points and simultaneous fixed point.

In this present paper, we establish Cantor's intersection like theorem in a locally convex topological vector spaces. Some xed point and common xed point theorems are proved for Reich and Caccioppoli type contractive mappings in such a locally convex topological vector space. Also in this setting we prove a xed point theorem for some mapping which is the uniform limit of a sequence of Reich type contractive mappings therein. áâ ®¢«¥ ⥮६ ,¯®¤÷¡ ⥮६÷ â®à ¯à®¯¥à¥â¨, ã ¢¨¯ ¤ªã «®ª «ì® ®¯ãª«¨å ¢¥ªâ®à¨å¯à®áâ®à÷¢. «ï áâ¨áªãîç¨å ¢÷¤®¡à ¦¥ì ⨯㠩å ÷ çç÷®¯®«÷ ¢÷¤¯®¢÷¤¨å¯à®áâ®à÷¢ ¤®¢¥¤¥÷ ⥮६¨¯à® ¥àã宬ã â®çªã â á¯÷«ìã ¥àã宬ã â®çªã. ª®¦ ã ae÷©¯®áâ ®¢ae÷ ¤®¢¥¤¥ ⥮६ ¯à® ¥àã宬ã â®çªã ¤«ï ¢÷¤®¡à ¦¥ï, 瘟 õ à÷¢®¬÷à®î £à ¨ae¥î¯®á«÷¤®¢®áâ÷ áâ¨áªãîç¨å ¢÷¤®¡à ¦¥ì ⨯㠩å .

No abstract

Role of d-points in a metric space is well-known. The notion has been extended in a partial metric space (ܺ, ‫)‬ and the consequences of p-h points have been investigated with some applications in theory of fixed points.