Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors

Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

n/

Boyd-Wong contractions in F-metric spaces and applications

[EN] The main aim of this paper is to  study the Boyd-Wong type fixed point result in the  F-metric context and apply it to obtain  some existence and uniqueness criteria of solution(s) to a second order initial value problem and a Caputo fractional differential equation. We substantiate our obtained result  by finding a suitable non-trivial example.The Research is funded by the Ministry of Human Resource and Development, Government of India and by the Council of Scientific and Industrial Research (CSIR), Government of India under the Grant Number: 25(0285)/18/EMR-II. This project is funded by National Research Council of Thailand (NRCT) N41A640092.Bera, A.; Dey, LK.; Som, S.; Garai, H.; Sintunavarat, W. (2022). Boyd-Wong contractions in F-metric spaces and applications. Applied General Topology. 23(1):157-167. https://doi.org/10.4995/agt.2022.1535615716723