Two theorems involving cyclic generalized proximal C-contractive non-self mappings-Reference-Cited by-同舟云学术

Two theorems involving cyclic generalized proximal C-contractive non-self mappings

Published:2022 Issue:16 Volume:36 Page:5677-5690
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ayari Iadh¹,Aydi Hassen²,Hammad Hasanen³,Imdad M.⁴

Affiliation:

1. Carthage University, Institut National Des Sciences Appliquées et de Technologie, de Tunis, Tunis, Tunisie + Department of Math and Sciences, Community College, Qatar, Doha, Qatar

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia + China Medical University Hospital, China Medical University, Taichung, Taiwan + Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

3. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah, Saudi Arabia + Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt

4. Aligarh Muslim University, Department of Mathematics, India

Abstract

This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T : Q ? P called generalized proximal C-contractions of the first and second kinds. We expose many examples to justify our obtained results. Considerable fixed point results are evolved as a consequence of our main theorems.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference23 articles.

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3. V.M. Sehgal, S.P. Singh, A generalization to multifunctions of Fan’s best approximation theorem. Proc. Amer. Math. Soc 102 (1988), 534-537.

4. J. B. Prolla Fixed point Theorems for set valued mappings and existence of best approximations. Numer. Funct. Anal. Optim. (1982-1983), 449-455.

5. S. Bacha, Extentions of Banach’s contraction principle. J. Num. Func. Anal. Optim Theory Appl., 31 (2010), 569-576.

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