Abstract:

The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by Dziok-Srivastava operator. Relevant connections of the results, which are presented in this paper, with various known results are also considered.

Paper's Title:

Fixed Point Results for Integral Type Contractions in R-Metric Space

Author(s):

Samriddhi Ghosh, Ramakant Bhardwaj, Ritu Shrivastava, Vandana Rathore, Satyendra Narayan

Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: ritha98@gmail.com

Department of Mathematics,
Amity University, Kolkata, West Bengal,
India.
E-mail: drrkbhardwaj100@gmail.com

Department of Mathematics,
Bahrain Polytechnic, Isa Town,
Kingdom of Bahrain
E-mail: ritu.shrivastava@polytechnic.bh

Faculty of Science and Technology,
Jagran Lakecity University, Bhopal, Madhya Pradesh,
India.
E-mail: drvandana@jlu.edu.in

School of Computer Science and Technology,
Algoma University, Brampton, Ontario,
Canada.
E-mail: narayan.satyendra@gmail.com

Abstract:

The main aim of the research is to establish some invariant point (fixed point) results under the purview of R-Metric Spaces, for integral type R-contractive mappings. To serve this purpose, concepts of R-continuity, R-convergence and R-preservation has been used. Finally, the obtained results has been used to deduce some invariant point results for Banach, Kannan and Chatterjea type mappings in R-Metric Space. Also some examples and applications have been illustrated to support the findings discussed.

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