Browsing by Author "Sarwar, Muhammad"

Now showing 1 - 9 of 9

Strong Convergence To a Fixed Point of Nonexpensive Discrete Semigroup in Strictly Convex Banach Spaces
(Univ Prishtines, 2021) Rahmat, Gul; Sarwar, Muhammad; Tunc, Cemil
In this paper, we prove a strong convergence of a sequence with some certain conditions to a common fixed point of a discrete semigroup of non-expansive and linear operators on a strictly convex Banach spaces. Further we generalized the result to a countable family of such discrete semigroups.
Fixed Point Theorems in B-Metric Spaces and Their Applications To Non-Linear Fractional Differential and Integral Equations
(Springer Basel Ag, 2018) Zada, Mian Bahadur; Sarwar, Muhammad; Tunc, Cemil
In this paper, we modify L-cyclic (alpha, beta)(s)-contractions and using this contraction, we prove fixed point theorems in the setting of b-metric spaces. As an application, we discuss the existence of a unique solution to non-linear fractional differential equation, D-c(sigma) (x(t)) = f(t, x(t)), for all t is an element of (0, 1), (1) with the integral boundary conditions, x(0) = 0, x(1) = integral(rho)(0) x(r) dr, for all rho is an element of (0, 1), where x is an element of C([0, 1], R), D-c(alpha) denotes the Caputo fractional derivative of order sigma is an element of (1, 2], f : [0, 1] x R -> R is a continuous function. Furthermore, we established existence result of a unique common solution to the system of non-linear quadratic integral equations, {x(t) = integral(1)(0) H(t, tau)f(1)(tau, x(tau))d tau, for all t is an element of [0, 1]; x(t) = integral(1)(0) H(t, tau)f(2)(tau, x(tau))d tau, for all t is an element of [0, 1], where H : [0, 1] x [0, 1] -> [0, infinity) is continuous at t is an element of [0, 1] for every tau is an element of [0, 1] and measurable at tau is an element of [0, 1] for every t is an element of [0, 1] and f(1), f(2) : [0, 1] x R -> [0, infinity) are continuous functions.
Coincidence Point Results for (φ,ψ)-Weak Contractive Mappings in Cone 2-Metric Spaces
(Honam Mathematical Soc, 2021) Islam, Ziaul; Sarwar, Muhammad; Tunc, Cemil
In the present paper, utilizing (phi,psi)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2-metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.
Set-Valued Fixed Point Results With Application To Fredholm-Type Integral Inclusion
(Taylor & Francis Ltd, 2020) Shoaib, Muhammad; Sarwar, Muhammad; Tunc, Cemil
In this manuscript, using the concept of a couple[f h]called generalized upper-class of type-III and (alpha(*),eta(*))beta-contraction, multi-valued fixed-point results are established in metric spaces. Our results generalized many results in the current literature. Further our methods can be applicable to the study of consensus problems. For the authenticity of the presented work, example and existence theorem for Fredholm-type integral inclusion are also discussed.
Fixed Point Theorems for Multi-Valued Generalized Contraction in B-Metric Spaces
(Univ Prishtines, 2018) Hussain, Saddam; Sarwar, Muhammad; Tunc, Cemil
The purpose of this article is to study the existence and uniqueness of fixed points and common fixed points for multi valued mappings via rational type contraction in the setting of b-complete metric spaces. For the usability of the established result an appropriate example is also given.
Periodic Fixed Point Theorems Via Rational Type Contraction in B-Metric Spaces
(Univ Prishtines, 2019) Hussain, Saddam; Sarwar, Muhammad; Tunc, Cemil
In this manuscripts, the existence and uniqueness of periodic common fixed point are studied for pair of mappings via rational type contraction in the setting of complete b-metric spaces.
Fixed Point Results Via Ψ-Contraction in C*- Algebra Valued Generalized Metric Spaces With Applications
(Univ Prishtines, 2023) Rahmat, Gul; Yousaf, Arshad; Sarwar, Muhammad; Shoaib, Muhammad; Tunc, Cemil
In this manuscript, using the concept of C*-algebra valued generalized metric spaces, fixed point results for self mappings with contractive conditions related to a nondecreasing function psi : [0, +infinity) -> [0, +infinity) such that lim(m ->infinity)psi(m)(s) = 0, for all s is an element of (0, +infinity), are established. As an application, uniqueness and existence result for integral equation are also provided.
Hybrid Fixed Point Results Via E.a and Tangential Properties in Metric Spaces
(Honam Mathematical Soc, 2018) Shoaib, Muhammad; Sarwar, Muhammad; Tunc, Cemil
In this manuscript, hybrid fixed point results for four maps using (E.A) and tangential properties in the setting of metric space are studied. Application to system of functional equations is also studied.
Coupled Fixed Point Theorem for Multi-Valued Mapping Via Generalized Contraction in Partially Ordered Metric Spaces With Applications
(Univ Prishtines, 2017) Shoaib, Muhammad; Sarwar, Muhammad; Tunc, Cemil
In this manuscript, using generalized type contraction, multi-valued coupled fixed point results in the set up of partially ordered metric space are studied. For the validity of the derived result appropriate example and application are also provided.