Fixed point theorem for new type of auxiliary functions-Reference-Cited by-同舟云学术

Fixed point theorem for new type of auxiliary functions

Published:2020-07-01 Issue:1 Volume:12 Page:97-111
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Gupta Vishal¹,Ansari A. H.²,Mani Naveen³

Affiliation:

1. Department of Mathematics , Maharishi Markandeshwar, Deemed to be University , Mullana , Haryana , India , e-mail: vishal.gmn@gmail.com,

2. Department of Mathematics , Karaj Branch, Islamic Azad University , Karaj , Iran

3. Department of Mathematics , Sandip University , Nashik , Maharashtra , India

Abstract

Abstract In this paper, we present some fixed point results satisfying generalized contractive condition with new auxiliary function in complete metric spaces. More precisely, the structure of the paper is the following. In the first section, we present some useful notions and results. The main aim of second section is to establish some new fixed point results in complete metric spaces. Finally, in the third section, we show the validity and superiority of our main results by suitable example. Also, as an application of our main result, some interesting corollaries have been included, which make our concepts and results effective. Our main result generalizes some well known existing results in the literature.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2020-0006

Reference18 articles.

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3. [3] A. Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci., 29 (2002), 531–536.10.1155/S0161171202007524

4. [4] B. K. Dass and S. Gupta, An extension of Banach contraction principle through rational expression, Indian J. Pure Appl. Math., 12 (1975), 1455–1458.

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