NEW TYPE OF FIXED POINT RESULT OF FCONTRACTION WITH APPLICATIONS | Zendy

Aftab Hussain | Zendy; Muhammad Arshad | Zendy; Mujahid Abbas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

NEW TYPE OF FIXED POINT RESULT OF FCONTRACTION WITH APPLICATIONS

Author(s) -

Aftab Hussain,

Muhammad Arshad,

Mujahid Abbas

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017069

Subject(s) - uniqueness , mathematics , coincidence point , fixed point theorem , fixed point , coincidence , discrete mathematics , type (biology) , contraction (grammar) , pure mathematics , mathematical analysis , ecology , alternative medicine , pathology , biology , medicine

The purpose of this paper is to prove theorem which generalize the corresponding results of Rhoades [B. E. Rhoades, Two New Fixed Point Theorems, Gen. Math. Notes, 2015, 27(2), 123–132]. This paper is to introduce the notion of dynamic process for generalized F−contraction mappings and to obtain coincidence and common fixed point results for such process. It is worth mentioning that our results do not rely on the commonly used range inclusion condition. We provide some examples to support our results. As an application of our results, we obtain the existence and uniqueness of solutions of dynamic programming and integral equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research