Sentence examples for extended fixed from inspiring English sources

Afterward, many authors studied and extended fixed point theorems in cone metric spaces (see [2 4] and references therein).

The Banach contraction mapping principle is considered to be the soul of many extended fixed point theorems.

The Banach contraction mapping principle is considered to be the core of many extended fixed point theorems.

In 1988, Grabiec [27] defined contractive mappings on a fuzzy metric space and extended fixed point theorems of Banach and Edelstein in such spaces.

In 1988, Grabiec [1] first defined the Banach contraction in a fuzzy metric space and extended fixed point theorems of Banach and Edelstein to fuzzy metric spaces.

From this trend, several mathematicians extended fixed point results for weak contraction mappings and generalized weak contraction mappings with respect to w-distances on metric spaces (see [7, 8] and references therein).

A Ministry of Justice spokesperson said: "This Government remains supportive of the principle of extending fixed recoverable costs".

We now show how easily one can extend fixed point theory in Banach spaces to applicable fixed point theory in Fréchet spaces.

Note that if (A=B), then the best proximity point will reduce to a fixed point of the mapping T. Hence the results dealing with the best proximity point problem extend fixed point theory in a natural way.

In this paper we extend fixed point theorems established by Ran and Reurings and Nieto and Rodríguez-López to (CJM) contractions on preordered metric spaces, where a preordered binary relation is weaker than a partial order.

Three fixed point theorems which extended the fixed point theory for Kannan's mappings were proved in [11].