Fixed point theorems for nonlinear contractive map**s in ordered b-metric space with auxiliary function

N Seshagiri Rao, K Kalyani, B Mitiku - BMC Research Notes, 2020 - Springer
Objectives In this paper we present some fixed point theorems for self map**s satisfying
generalized (ϕ, ψ)(ϕ, ψ)-weak contraction condition in partially ordered complete b-metric …

Some Caristi type fixed point theorems

M Aslantas, H Sahin, D Turkoglu - The Journal of Analysis, 2021 - Springer
In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was
shown that this result is equivalent to Ekeland variational principle which has a great …

Results on fixed points in b-metric space by altering distance functions

NS Rao, A Aloqaily, N Mlaiki - Heliyon, 2024 - cell.com
We discuss the existence of a fixed point for a self map** and its uniqueness
satisfying\(ϕ˙, η˙\)-generalized contractive condition including altering distance functions of …

Fixed point theorems for weakly beta-admissible pair of F-contractions with application

M Nazam, N Hussain, A Hussain… - … Analysis: Modelling and …, 2019 - zurnalai.vu.lt
In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common
fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb …

A relation-theoretic metrical fixed point theorem for rational type contraction map** with an application

A Hossain, FA Khan, QH Khan - Axioms, 2021 - mdpi.com
Axioms | Free Full-Text | A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type
Contraction Map** with an Application Next Article in Journal Nabla Fractional Derivative …

Fixed point results for weak contractions in partially ordered b-metric space

N Seshagiri Rao, K Kalyani, K Prasad - BMC Research Notes, 2021 - Springer
Objectives We explore the existence of a fixed point as well as the uniqueness of a map**
in an ordered b-metric space using a generalized (̌ ψ, ̂ η)(ψ ˇ, η^)-weak contraction. In …

Answers to Kirk-Shahzad's Questions on Strong -metric Spaces

TV An, NV Dung - 2016 - projecteuclid.org
In this paper, two open questions on strong b-metric spaces posed by Kirk and Shahzad 11,
Chapter 12 are investigated. A counterexample is constructed to give a negative answer to …

Fixed point theory in b-metric spaces

N Van Dung, W Sintunavarat - Metric Structures and Fixed Point …, 2021 - taylorfrancis.com
In 1993, Czerwik [27] introduced the notion of a b-metric with a coefficient 2. This notion was
generalized later with a coefficient κ≥ 1 in [28]. In 2010 Khamsi and Hussain [58] …

Fixed point theorems for generalized (ψ, φ, F)-contraction type map**s in b-metric spaces with Applications

T Hamaizia - Open Journal of Mathematical Analysis, 2021 - editor.journal7sub.com
Fixed point theorems for generalized ( ,,F) -contraction type map**s in b-metric spaces with
applications Page 1 Article Fixed point theorems for generalized (ψ, ϕ, F)-contraction type …

Fixed point results of (ϕ, ψ)-weak contractions inordered b-metric spaces

N Seshagiri Rao, K Kalyani - Cubo (Temuco), 2022 - SciELO Chile
The purpose of this paper is to prove some results on fixed point, coincidence point, coupled
coincidence point and coupled common fixed point for the map**s satisfying generalized …