Naseer Shahzad

Random fixed point theorems for multivalued inward random operators on Banach spaces

Common Random Fixed Points of Random Multivalued Operators

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Fixed point theory for cyclic generalized contractions in partial metric spaces

by IRJET Journal and Naseer Shahzad

In this article, we give some fixed point theorems for mappings satisfying cyclical generalized c... more

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Set-valued G-Prešić operators on metric spaces endowed with a graph and fixed point theorems

by Naseer Shahzad and satish shukla Shukla

Fixed Point Theory and Applications, 2015

In this paper, we consider the set-valued contractions defined on product spaces when the underly... more In this paper, we consider the set-valued contractions defined on product spaces when the underlying space is a complete metric space endowed with a graph. Some fixed point results for the so-called set-valued G-Prešić operators are established. Our theorems extend and generalize some known results in product spaces of the recent literature. As an application of our main result, fixed point results for various types of set-valued contractions on product spaces are derived, and a sufficient condition for the existence of a weakly asymptotically stable and global attractor equilibrium point of a kth order nonlinear difference inclusion is established. MSC: 47H10; 54H25; 39A11

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Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces

Nonlinear Analysis: Theory, Methods & Applications, 2009

ABSTRACT In hyperconvex metric spaces we consider best approximation, invariant approximation and... more

$Research paper thumbnail of Approximation and Leray-Schauder type results for ${\mathcal U}_{c}^{\kappa}$ maps$

Approximation and Leray-Schauder type results for ${\mathcal U}_{c}^{\kappa}$ maps

Topological Methods in Nonlinear Analysis, 2004

The paper presents new approximation and Leray-Schauder type results for multimaps in the class S... more

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Symmetric Spaces and Fixed Points of Generalized Contractions

Abstract and Applied Analysis, 2013

Some fixed point results in semi-metric spaces as well as in symmetric spaces are proved. Applica... more

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On random coincidence point theorems

Topological Methods in Nonlinear Analysis, 2005

Fixed points of multimaps which are not necessarily nonexpansive

Fixed Point Theory Appl, 2005

Let C be a nonempty closed bounded convex subset of a Banach space X whose characteristic of nonc... more Let C be a nonempty closed bounded convex subset of a Banach space X whose characteristic of noncompact convexity is less than 1 and T a continuous 1-χ-contractive SL map (which is not necessarily nonexpansive) from C to KC(X) satisfying an inwardness condition, where KC(X) is the family of all nonempty compact convex subsets of X. It is proved that T has a fixed point. Some fixed points results for noncontinuous maps are also derived as applications. Our result contains, as a special case, a recent result of Benavides and Ramírez (2004).

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Boundedness character of a max-type system of difference equations of second order

Electronic Journal of Qualitative Theory of Differential Equations, 2014

ABSTRACT

A generalization of Nadler’s fixed point theorem and its application

Topological Methods in Nonlinear Analysis, 2013

Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions

Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone... more Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone inclusion problems, providing in particular both primal and dual solutions. We propose a class of strongly convergent algorithms for constructing the best approximation to a reference point from the set of Kuhn-Tucker points of a general Hilbertian composite monotone inclusion problem. Applications to systems of coupled monotone inclusions are presented. Our framework does not impose additional assumptions on the operators present in the formulation, and it does not require knowledge of the norm of the linear operators involved in the compositions or the inversion of linear operators.

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Some Fixed Point Theorems in $b$-Metric Space Endowed with Graph

Abstract and Applied Analysis, 2013

Drug utilization pattern of antibacterials used in ear, nose and throat outpatient and inpatient departments of a university hospital at New Delhi, India

Journal of Pharmacy and Bioallied Sciences, 2010

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Random fixed point theory in spaces with two metrics

Journal of Applied Mathematics and Stochastic Analysis, 2003

We present new random fixed point theorems in spaces with two metrics. Our results extend recent ... more

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Random Fixed Points for Several Classes of 1-Ball-Contractive and 1-Set-Contractive Random Maps

Journal of Mathematical Analysis and Applications, Sep 1, 1999

A general random fixed point theorem for continuous random operators is proved. As applications, ... more A general random fixed point theorem for continuous random operators is proved. As applications, a number of random fixed points theorems for various Ž classes of 1-set and 1-ball contractive random operators e.g., operators of contractive type with compact or completely continuous perturbations, operators of . semicontractive type, etc. are derived. Our results unify and extend most of the known random fixed points theorems. 1991 AMS Subject Classification: 47H10, 60H25. ᮊ 1999 Academic Press

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Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions

Numerical Functional Analysis and Optimization, 2015

Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone... more Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone inclusion problems, providing in particular both primal and dual solutions. We propose a class of strongly convergent algorithms for constructing the best approximation to a reference point from the set of Kuhn-Tucker points of a general Hilbertian composite monotone inclusion problem. Our framework does not impose additional assumptions on the operators present in the formulation.

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Common fixed points for commuting mappings in hyperconvex spaces. Topology Appl. 180 (2015), 181--185

Topology and Its Applications, Feb 1, 2015

In a bounded hyperconvex metric space M we prove common fixed point results for nonexpansive ma... more In a bounded hyperconvex metric space M we prove common fixed point results for nonexpansive mappings f:M→Mf:M→M and F:M→2MF:M→2M such that the mappings either commute or commute weakly. Our results provide hyperconvex space analogues of similar common fixed point theorems in Banach and CAT(0) spaces. Our method for weakly commuting mappings uses the hyperconvexity of N(M)N(M) the space of nonexpansive mappings of M with the sup metric. We show that if F:M→2MF:M→2M has externally hyperconvex values then the set of all nonexpansive selections of F is an externally hyperconvex subset of N(M)N(M).

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Some results on Best Proximity Points for Cyclic Mappings

Bulletin of the Belgian Mathematical Society Simon Stevin, Aug 1, 2013

The Bellman�Kalaba�Lakshmikantham Quasilinearization Method for Neumann Problems

Journal of Mathematical Analysis and Applications, May 1, 2001

In this paper, we develop a generalized quasilinearization method for a nonlinear Neumann problem... more

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