Abstract
In this paper, we give some new results of common fixed point theorems and coincidence point case for some iterative method. By using of variation iteration method and an effective modification of He’s variation iteration method discusses some integral and differential equations, we give out some new conclusion and more new examples.
Highlights
Fixed point theory has fascinated many researchers since 1922 with the celebrated Banach’s fixed point theorem
By using of variation iteration method and an effective modification of He’s variation iteration method discusses some integral and differential equations, we give out some new conclusion and more new examples
The common fixed point theorems for two operators in cone metric space are given in [3]
Summary
Fixed point theory has fascinated many researchers since 1922 with the celebrated Banach’s fixed point theorem. By using same definition and meaning in stating is looking in [2] and [3] etc. We introducing the following results for needing. The authors give the following definition and lemma (see the proof of theorem 3 [2]). Let E always be a real Banach space, and P be the subset of E, P is called a cone, if and only if:. Definition 1.2 Let X , d is said to be a complete cone metric space, if every Cauchy sequence is convergent in X. An element x X is said to be a fixed point of a multi-valued mapping
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