On ∇∗∗ -distance and fixed point theorems in generalized partially ordered D∗ -metric spaces | Zendy

Alaa Mahmood Al. Jumaili | Zendy; Xiao Yang | Zendy

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On ∇∗∗ -distance and fixed point theorems in generalized partially ordered D∗ -metric spaces

Author(s) -

Alaa Mahmood Al. Jumaili,

Xiao Yang

Publication year - 2015

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.008.01.06

Subject(s) - mathematics , metric space , fixed point theorem , pure mathematics , fixed point , discrete mathematics , combinatorics , mathematical analysis

In this paper, we introduce a new concept on a complete generalized D∗-metric space by using the concept of generalized D∗-metric space (D∗-cone metric space) called ∇∗∗-distance and, by using the concept of the ∇∗∗-distance we prove some new fixed point theorems in complete partially ordered generalized D∗-metric space which is the main result of our paper. c ©2015 All rights reserved.

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