Abstract

Fixed Point Theorems Using A-compatible and A-weak Reciprocally Continuous Mappings in d-Metric Space

B. Malleh1, V. Srinivas2 and Ravi S3

1Department of Mathematics, Nizam College (A) Osmania University, Hyderabad-500001 (Telangana), INDIA. 2Department of Mathematics, University College of Science, Saifabad Osmania University, Hyderabad-500004 (Telangana), INDIA. 3Department of Mathematics, University Post Graduate College, Secunderabad Osmania University, Hyderabad-500003 (Telangana), INDIA.

ABSTRACT

The purpose of this paper is to prove a common fixed point theorem using A-Compatible and A-weak reciprocally continuous mappings in dislocated metric space. This is a weaker form of the result of Jha and Panthi. We substantiate our theorem with a valid example. AMS (2010) Mathematics Classification: 54H25, 47H10.

Keywords :Fixed point, A-Compatible, S-Compatible, A-weak reciprocally continuous and S-weak reciprocally continuous mappings, weakly compatible.

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