Fixed point theorem for a new SF-GF-contraction mappings in metric space with supportive applications-Reference-Cited by-同舟云学术

Fixed point theorem for a new SF-GF-contraction mappings in metric space with supportive applications

Published:2023 Issue:23 Volume:37 Page:7955-7971
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Taqbibt Abdellah¹,Chaib Mohamed¹,Elomari M’hamed¹,Melliani Said¹

Affiliation:

1. Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, FST, Beni Mellal, Morocco

Abstract

This manuscript has for goal to present a new type of contraction, namely SF -GF -contraction, based on the simulation function and the Geraghty function. Some existence and uniqueness results of fixed point in complete metric spaces have been shown with this contraction. Our results generalize and unify several existing results in the literature. Moreover, we illustrated these results with some examples and applications.

Publisher

National Library of Serbia

Reference27 articles.

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3. Beloul, S., Common fixed point theorems for multi-valued contractions satisfying generalized condition(B) on partial metric spaces, Facta Univ. Ser. Math. Inform., 30, 555-566 (2015).

4. Beloul, S., A common fixed point theorem For generalized almost contractions in metriclike spaces, Appl. Math. E-Notes., 18 , 127-139 (2018).

5. Shatanawi, W., Postolache, M., Coincidence and fixed point results for generalized weak contractions in the sense of Berinde on partial metric spaces, Fixed Point Theory Appl., 1, 1-17 (2013).

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