* -admissible; α -admissible; Caristi mappings; RC-class and LC-class.">

Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 12 (2017), 71 -- 80

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This work is licensed under a Creative Commons Attribution 4.0 International License.

RC-CLASS AND LC-CLASS ON FIXED POINT THEOREMS FOR α-CARISTI TYPE CONTRACTION MAPPINGS

Arslan Hojat Ansari and Muhammad Usman Ali

Abstract. In this paper, we introduce the notion of (α,ℋLC,fRC)-Caristi type contraction mappings and prove fixed point theorem by using this notion on complete metric space. To illustrate our result, we construct an example.

2010 Mathematics Subject Classification: 47H10; 54H25.
Keywords: α * -admissible; α -admissible; Caristi mappings; RC-class and LC-class.

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Arslan Hojat Ansari
Department of Mathematics
Karaj Branch, Islamic Azad University
Karaj, Iran.
e-mail:analsisamirmath2@gmail.com

Muhammad Usman Ali
Department of Mathematics
COMSATS Institute of Information Technology
Attock, Pakistan.
e-mail:muh_usman_ali@yahoo.com