Coupled fixed point theorems for Zamfirescu type operators in ordered generalized Kasahara spaces

Darius Filip

Abstract


In this paper we give some coupled fixed point theorems for Zamfirescu type operators in ordered generalized Kasahara spaces  $(X,\to,d,\leq)$, where $d:X\times X\to \mathbb{R}^m_+$ is a premetric. An application concerning the existence and uniqueness of solutions for systems of functional-integral equations is also given.

Keywords


coupled fixed point, ordered generalized Kasahara spaces, Zamfirescu type operator, matrix convergent to zero, sequence of successive approximations, premetric

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