﻿<?xml version="1.0" encoding="UTF-8"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>Turkish Journal of Analysis and Number Theory</journalTitle>
    <eissn>2333-1232</eissn>
    <publicationDate>2016-11-30</publicationDate>
    <volume>5</volume>
    <issue>1</issue>
    <startPage>5</startPage>
    <endPage>12</endPage>
    <doi>10.12691/tjant-5-1-2</doi>
    <publisherRecordId>TJANT2017512</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Fixed Point Results for Hardy Roger Type Contraction in Ordered Complete Dislocated Gd Metric Space</title>
    <authors>
      <author>
        <name>Abdullah Shoaib</name>
        <email>abdullahshoaib15@yahoo.com</email>
        <affiliationId>1</affiliationId>
      </author>
      <author>
        <name>Muhammad Arshad</name>
        <affiliationId>2</affiliationId>
      </author>
      <author>
        <name>Syed Hussnain Kazmi</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan</affiliationName>
      <affiliationName affiliationId="2">Department of Mathematics, International Islamic University, H-10, Islamabad, Pakistan</affiliationName>
    </affiliationsList>
    <abstract language="eng">In this paper we discuss the fixed points of mappings satisfying a contractive condition on a closed ball in an ordered complete dislocated quasi Gd-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. An example is given to show the validity of our work. Our results improve/generalize several well known recent and classical results.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/tjant/5/1/2/tjant-5-1-2.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>fixed point</keyword>
      <keyword>contractive dominated mappings</keyword>
      <keyword>closed ball</keyword>
      <keyword>crdered complete dislocated quasi G<SUB>d</SUB>-metric spaces</keyword>
    </keywords>
  </record>
</records>