COUPLED COMMON FIXED POINT THEOREMS OF CIRIC TYPE G-WEAK CONTRACTIONS WITH CLRG PROPERTY

Authors

  • G. V. R. Babu Department of Mathematics, Andhra University, Visakhapatnam - 530003, India.
  • P. Subhashini Department of Mathematics, P. R. Govt. College (A), Kakinada - 533 001, Andhra Pradesh, India

Abstract

In this paper we introduce property (E. A) in the context of coupled fixed points and define Ciric type g-weak contractions and prove the existence of coupled common fixed points for a pair of w-compatible maps using property (E. A). Further, we consider a pair of maps satisfying an implicit relation with property (E. A) and prove the existence of coupled common fixed points. The results of Long, Rhoades and Rajovic[16] and our results are independent. Examples are provided to illustrate this phenomenon.

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Published

2012-11-19

How to Cite

Babu, G. V. R., & Subhashini, P. (2012). COUPLED COMMON FIXED POINT THEOREMS OF CIRIC TYPE G-WEAK CONTRACTIONS WITH CLRG PROPERTY. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 4(1), 133-145. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/194

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Section

Research Article